Finding the Third Proportional to 256,499 and 383,312

Step by Step Solution

1. Step 1: Write the proportion equation
   256,499 : 383,312 = 383,312 : x
2. Step 2: Convert to fraction form
   256,499/383,312 = 383,312/x
3. Step 3: Cross multiply
   256,499x = 383,312 × 383,312
4. Step 4: Simplify right side
   256,499x = 146,928,089,344
5. Step 5: Solve for x
   x = 146,928,089,344/256,499
6. Step 6: Final answer
   x = 572,821.29