Finding the Third Proportional to 77,887.50 and 116,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,887.50 : 116,700.50 = 116,700.50 : x
2. Step 2: Convert to fraction form
   77,887.50/116,700.50 = 116,700.50/x
3. Step 3: Cross multiply
   77,887.50x = 116,700.50 × 116,700.50
4. Step 4: Simplify right side
   77,887.50x = 13,619,006,700.25
5. Step 5: Solve for x
   x = 13,619,006,700.25/77,887.50
6. Step 6: Final answer
   x = 174,854.84