Finding the Third Proportional to 99,882 and 216,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,882 : 216,166.50 = 216,166.50 : x
2. Step 2: Convert to fraction form
   99,882/216,166.50 = 216,166.50/x
3. Step 3: Cross multiply
   99,882x = 216,166.50 × 216,166.50
4. Step 4: Simplify right side
   99,882x = 46,727,955,722.25
5. Step 5: Solve for x
   x = 46,727,955,722.25/99,882
6. Step 6: Final answer
   x = 467,831.60