Finding the Third Proportional to 264,391.50 and 402,783

Step by Step Solution

1. Step 1: Write the proportion equation
   264,391.50 : 402,783 = 402,783 : x
2. Step 2: Convert to fraction form
   264,391.50/402,783 = 402,783/x
3. Step 3: Cross multiply
   264,391.50x = 402,783 × 402,783
4. Step 4: Simplify right side
   264,391.50x = 162,234,145,089
5. Step 5: Solve for x
   x = 162,234,145,089/264,391.50
6. Step 6: Final answer
   x = 613,613.32