Finding the Third Proportional to 99,831.75 and 218,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,831.75 : 218,086.50 = 218,086.50 : x
2. Step 2: Convert to fraction form
   99,831.75/218,086.50 = 218,086.50/x
3. Step 3: Cross multiply
   99,831.75x = 218,086.50 × 218,086.50
4. Step 4: Simplify right side
   99,831.75x = 47,561,721,482.25
5. Step 5: Solve for x
   x = 47,561,721,482.25/99,831.75
6. Step 6: Final answer
   x = 476,418.79