Finding the Third Proportional to 152,004 and 329,967

Step by Step Solution

1. Step 1: Write the proportion equation
   152,004 : 329,967 = 329,967 : x
2. Step 2: Convert to fraction form
   152,004/329,967 = 329,967/x
3. Step 3: Cross multiply
   152,004x = 329,967 × 329,967
4. Step 4: Simplify right side
   152,004x = 108,878,221,089
5. Step 5: Solve for x
   x = 108,878,221,089/152,004
6. Step 6: Final answer
   x = 716,285.24