Finding the Third Proportional to 77,064 and 115,076.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,064 : 115,076.25 = 115,076.25 : x
2. Step 2: Convert to fraction form
   77,064/115,076.25 = 115,076.25/x
3. Step 3: Cross multiply
   77,064x = 115,076.25 × 115,076.25
4. Step 4: Simplify right side
   77,064x = 13,242,543,314.06
5. Step 5: Solve for x
   x = 13,242,543,314.06/77,064
6. Step 6: Final answer
   x = 171,838.26