Finding the Third Proportional to 99,824 and 216,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,824 : 216,435.50 = 216,435.50 : x
2. Step 2: Convert to fraction form
   99,824/216,435.50 = 216,435.50/x
3. Step 3: Cross multiply
   99,824x = 216,435.50 × 216,435.50
4. Step 4: Simplify right side
   99,824x = 46,844,325,660.25
5. Step 5: Solve for x
   x = 46,844,325,660.25/99,824
6. Step 6: Final answer
   x = 469,269.17