Finding the Third Proportional to 150,856 and 297,906

Step by Step Solution

1. Step 1: Write the proportion equation
   150,856 : 297,906 = 297,906 : x
2. Step 2: Convert to fraction form
   150,856/297,906 = 297,906/x
3. Step 3: Cross multiply
   150,856x = 297,906 × 297,906
4. Step 4: Simplify right side
   150,856x = 88,747,984,836
5. Step 5: Solve for x
   x = 88,747,984,836/150,856
6. Step 6: Final answer
   x = 588,296.02