Finding the Third Proportional to 99,709.50 and 215,265

Step by Step Solution

1. Step 1: Write the proportion equation
   99,709.50 : 215,265 = 215,265 : x
2. Step 2: Convert to fraction form
   99,709.50/215,265 = 215,265/x
3. Step 3: Cross multiply
   99,709.50x = 215,265 × 215,265
4. Step 4: Simplify right side
   99,709.50x = 46,339,020,225
5. Step 5: Solve for x
   x = 46,339,020,225/99,709.50
6. Step 6: Final answer
   x = 464,740.27