Finding the Third Proportional to 77,499 and 118,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,499 : 118,471.50 = 118,471.50 : x
2. Step 2: Convert to fraction form
   77,499/118,471.50 = 118,471.50/x
3. Step 3: Cross multiply
   77,499x = 118,471.50 × 118,471.50
4. Step 4: Simplify right side
   77,499x = 14,035,496,312.25
5. Step 5: Solve for x
   x = 14,035,496,312.25/77,499
6. Step 6: Final answer
   x = 181,105.52