Finding the Third Proportional to 152,221 and 328,833

Step by Step Solution

1. Step 1: Write the proportion equation
   152,221 : 328,833 = 328,833 : x
2. Step 2: Convert to fraction form
   152,221/328,833 = 328,833/x
3. Step 3: Cross multiply
   152,221x = 328,833 × 328,833
4. Step 4: Simplify right side
   152,221x = 108,131,141,889
5. Step 5: Solve for x
   x = 108,131,141,889/152,221
6. Step 6: Final answer
   x = 710,356.27