Finding the Third Proportional to 149,564 and 329,488

Step by Step Solution

1. Step 1: Write the proportion equation
   149,564 : 329,488 = 329,488 : x
2. Step 2: Convert to fraction form
   149,564/329,488 = 329,488/x
3. Step 3: Cross multiply
   149,564x = 329,488 × 329,488
4. Step 4: Simplify right side
   149,564x = 108,562,342,144
5. Step 5: Solve for x
   x = 108,562,342,144/149,564
6. Step 6: Final answer
   x = 725,858.78