Finding the Third Proportional to 78,412.50 and 114,331.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,412.50 : 114,331.50 = 114,331.50 : x
2. Step 2: Convert to fraction form
   78,412.50/114,331.50 = 114,331.50/x
3. Step 3: Cross multiply
   78,412.50x = 114,331.50 × 114,331.50
4. Step 4: Simplify right side
   78,412.50x = 13,071,691,892.25
5. Step 5: Solve for x
   x = 13,071,691,892.25/78,412.50
6. Step 6: Final answer
   x = 166,704.18