Finding the Third Proportional to 45,702 and 99,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,702 : 99,787.50 = 99,787.50 : x
2. Step 2: Convert to fraction form
   45,702/99,787.50 = 99,787.50/x
3. Step 3: Cross multiply
   45,702x = 99,787.50 × 99,787.50
4. Step 4: Simplify right side
   45,702x = 9,957,545,156.25
5. Step 5: Solve for x
   x = 9,957,545,156.25/45,702
6. Step 6: Final answer
   x = 217,879.86