Finding the Third Proportional to 329,139 and 498,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,139 : 498,325.50 = 498,325.50 : x
2. Step 2: Convert to fraction form
   329,139/498,325.50 = 498,325.50/x
3. Step 3: Cross multiply
   329,139x = 498,325.50 × 498,325.50
4. Step 4: Simplify right side
   329,139x = 248,328,303,950.25
5. Step 5: Solve for x
   x = 248,328,303,950.25/329,139
6. Step 6: Final answer
   x = 754,478.52