Finding the Third Proportional to 99,822.75 and 216,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,822.75 : 216,256.50 = 216,256.50 : x
2. Step 2: Convert to fraction form
   99,822.75/216,256.50 = 216,256.50/x
3. Step 3: Cross multiply
   99,822.75x = 216,256.50 × 216,256.50
4. Step 4: Simplify right side
   99,822.75x = 46,766,873,792.25
5. Step 5: Solve for x
   x = 46,766,873,792.25/99,822.75
6. Step 6: Final answer
   x = 468,499.15