Finding the Third Proportional to 152,748 and 329,004

Step by Step Solution

1. Step 1: Write the proportion equation
   152,748 : 329,004 = 329,004 : x
2. Step 2: Convert to fraction form
   152,748/329,004 = 329,004/x
3. Step 3: Cross multiply
   152,748x = 329,004 × 329,004
4. Step 4: Simplify right side
   152,748x = 108,243,632,016
5. Step 5: Solve for x
   x = 108,243,632,016/152,748
6. Step 6: Final answer
   x = 708,641.89