Finding the Third Proportional to 78,459 and 116,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,459 : 116,164.50 = 116,164.50 : x
2. Step 2: Convert to fraction form
   78,459/116,164.50 = 116,164.50/x
3. Step 3: Cross multiply
   78,459x = 116,164.50 × 116,164.50
4. Step 4: Simplify right side
   78,459x = 13,494,191,060.25
5. Step 5: Solve for x
   x = 13,494,191,060.25/78,459
6. Step 6: Final answer
   x = 171,990.35