Finding the Third Proportional to 99,825 and 216,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,825 : 216,248.50 = 216,248.50 : x
2. Step 2: Convert to fraction form
   99,825/216,248.50 = 216,248.50/x
3. Step 3: Cross multiply
   99,825x = 216,248.50 × 216,248.50
4. Step 4: Simplify right side
   99,825x = 46,763,413,752.25
5. Step 5: Solve for x
   x = 46,763,413,752.25/99,825
6. Step 6: Final answer
   x = 468,453.93