Finding the Third Proportional to 150,832 and 297,856

Step by Step Solution

1. Step 1: Write the proportion equation
   150,832 : 297,856 = 297,856 : x
2. Step 2: Convert to fraction form
   150,832/297,856 = 297,856/x
3. Step 3: Cross multiply
   150,832x = 297,856 × 297,856
4. Step 4: Simplify right side
   150,832x = 88,718,196,736
5. Step 5: Solve for x
   x = 88,718,196,736/150,832
6. Step 6: Final answer
   x = 588,192.14