Finding the Third Proportional to 152,782 and 328,967

Step by Step Solution

1. Step 1: Write the proportion equation
   152,782 : 328,967 = 328,967 : x
2. Step 2: Convert to fraction form
   152,782/328,967 = 328,967/x
3. Step 3: Cross multiply
   152,782x = 328,967 × 328,967
4. Step 4: Simplify right side
   152,782x = 108,219,287,089
5. Step 5: Solve for x
   x = 108,219,287,089/152,782
6. Step 6: Final answer
   x = 708,324.85