Finding the Third Proportional to 157,784.50 and 215,567

Step by Step Solution

1. Step 1: Write the proportion equation
   157,784.50 : 215,567 = 215,567 : x
2. Step 2: Convert to fraction form
   157,784.50/215,567 = 215,567/x
3. Step 3: Cross multiply
   157,784.50x = 215,567 × 215,567
4. Step 4: Simplify right side
   157,784.50x = 46,469,131,489
5. Step 5: Solve for x
   x = 46,469,131,489/157,784.50
6. Step 6: Final answer
   x = 294,510.12