Finding the Third Proportional to 256,498.50 and 383,313

Step by Step Solution

1. Step 1: Write the proportion equation
   256,498.50 : 383,313 = 383,313 : x
2. Step 2: Convert to fraction form
   256,498.50/383,313 = 383,313/x
3. Step 3: Cross multiply
   256,498.50x = 383,313 × 383,313
4. Step 4: Simplify right side
   256,498.50x = 146,928,855,969
5. Step 5: Solve for x
   x = 146,928,855,969/256,498.50
6. Step 6: Final answer
   x = 572,825.40