Finding the Third Proportional to 150,828 and 297,849

Step by Step Solution

1. Step 1: Write the proportion equation
   150,828 : 297,849 = 297,849 : x
2. Step 2: Convert to fraction form
   150,828/297,849 = 297,849/x
3. Step 3: Cross multiply
   150,828x = 297,849 × 297,849
4. Step 4: Simplify right side
   150,828x = 88,714,026,801
5. Step 5: Solve for x
   x = 88,714,026,801/150,828
6. Step 6: Final answer
   x = 588,180.09