Finding the Third Proportional to 150,829 and 297,850

Step by Step Solution

1. Step 1: Write the proportion equation
   150,829 : 297,850 = 297,850 : x
2. Step 2: Convert to fraction form
   150,829/297,850 = 297,850/x
3. Step 3: Cross multiply
   150,829x = 297,850 × 297,850
4. Step 4: Simplify right side
   150,829x = 88,714,622,500
5. Step 5: Solve for x
   x = 88,714,622,500/150,829
6. Step 6: Final answer
   x = 588,180.14