Finding the Third Proportional to 256,962 and 391,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,962 : 391,510.50 = 391,510.50 : x
2. Step 2: Convert to fraction form
   256,962/391,510.50 = 391,510.50/x
3. Step 3: Cross multiply
   256,962x = 391,510.50 × 391,510.50
4. Step 4: Simplify right side
   256,962x = 153,280,471,610.25
5. Step 5: Solve for x
   x = 153,280,471,610.25/256,962
6. Step 6: Final answer
   x = 596,510.27