Finding the Third Proportional to 150,564 and 297,320

Step by Step Solution

1. Step 1: Write the proportion equation
   150,564 : 297,320 = 297,320 : x
2. Step 2: Convert to fraction form
   150,564/297,320 = 297,320/x
3. Step 3: Cross multiply
   150,564x = 297,320 × 297,320
4. Step 4: Simplify right side
   150,564x = 88,399,182,400
5. Step 5: Solve for x
   x = 88,399,182,400/150,564
6. Step 6: Final answer
   x = 587,120.31