Finding the Third Proportional to 131,850 and 284,256

Step by Step Solution

1. Step 1: Write the proportion equation
   131,850 : 284,256 = 284,256 : x
2. Step 2: Convert to fraction form
   131,850/284,256 = 284,256/x
3. Step 3: Cross multiply
   131,850x = 284,256 × 284,256
4. Step 4: Simplify right side
   131,850x = 80,801,473,536
5. Step 5: Solve for x
   x = 80,801,473,536/131,850
6. Step 6: Final answer
   x = 612,828.77