Finding the Third Proportional to 99,822 and 216,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,822 : 216,431.50 = 216,431.50 : x
2. Step 2: Convert to fraction form
   99,822/216,431.50 = 216,431.50/x
3. Step 3: Cross multiply
   99,822x = 216,431.50 × 216,431.50
4. Step 4: Simplify right side
   99,822x = 46,842,594,192.25
5. Step 5: Solve for x
   x = 46,842,594,192.25/99,822
6. Step 6: Final answer
   x = 469,261.23