Finding the Third Proportional to 64,017,309,591,096 and 86,374,381,553,144

Step by Step Solution

1. Step 1: Write the proportion equation
   64,017,309,591,096 : 86,374,381,553,144 = 86,374,381,553,144 : x
2. Step 2: Convert to fraction form
   64,017,309,591,096/86,374,381,553,144 = 86,374,381,553,144/x
3. Step 3: Cross multiply
   64,017,309,591,096x = 86,374,381,553,144 × 86,374,381,553,144
4. Step 4: Simplify right side
   64,017,309,591,096x = 7,460,533,788,688,102,279,337,738,240
5. Step 5: Solve for x
   x = 7,460,533,788,688,102,279,337,738,240/64,017,309,591,096
6. Step 6: Final answer
   x = 116,539,320,948,373.12