Finding the Third Proportional to 152,976 and 329,392

Step by Step Solution

1. Step 1: Write the proportion equation
   152,976 : 329,392 = 329,392 : x
2. Step 2: Convert to fraction form
   152,976/329,392 = 329,392/x
3. Step 3: Cross multiply
   152,976x = 329,392 × 329,392
4. Step 4: Simplify right side
   152,976x = 108,499,089,664
5. Step 5: Solve for x
   x = 108,499,089,664/152,976
6. Step 6: Final answer
   x = 709,255.63