Finding the Third Proportional to 329,068 and 496,030

Step by Step Solution

1. Step 1: Write the proportion equation
   329,068 : 496,030 = 496,030 : x
2. Step 2: Convert to fraction form
   329,068/496,030 = 496,030/x
3. Step 3: Cross multiply
   329,068x = 496,030 × 496,030
4. Step 4: Simplify right side
   329,068x = 246,045,760,900
5. Step 5: Solve for x
   x = 246,045,760,900/329,068
6. Step 6: Final answer
   x = 747,704.91