Finding the Third Proportional to 131,672 and 256,774

Step by Step Solution

1. Step 1: Write the proportion equation
   131,672 : 256,774 = 256,774 : x
2. Step 2: Convert to fraction form
   131,672/256,774 = 256,774/x
3. Step 3: Cross multiply
   131,672x = 256,774 × 256,774
4. Step 4: Simplify right side
   131,672x = 65,932,887,076
5. Step 5: Solve for x
   x = 65,932,887,076/131,672
6. Step 6: Final answer
   x = 500,735.82