Finding the Third Proportional to 253,344 and 356,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,344 : 356,275.50 = 356,275.50 : x
2. Step 2: Convert to fraction form
   253,344/356,275.50 = 356,275.50/x
3. Step 3: Cross multiply
   253,344x = 356,275.50 × 356,275.50
4. Step 4: Simplify right side
   253,344x = 126,932,231,900.25
5. Step 5: Solve for x
   x = 126,932,231,900.25/253,344
6. Step 6: Final answer
   x = 501,027.19