Finding the Third Proportional to 99,771.75 and 216,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,771.75 : 216,496.50 = 216,496.50 : x
2. Step 2: Convert to fraction form
   99,771.75/216,496.50 = 216,496.50/x
3. Step 3: Cross multiply
   99,771.75x = 216,496.50 × 216,496.50
4. Step 4: Simplify right side
   99,771.75x = 46,870,734,512.25
5. Step 5: Solve for x
   x = 46,870,734,512.25/99,771.75
6. Step 6: Final answer
   x = 469,779.62