Finding the Third Proportional to 116,774 and 256,876

Step by Step Solution

1. Step 1: Write the proportion equation
   116,774 : 256,876 = 256,876 : x
2. Step 2: Convert to fraction form
   116,774/256,876 = 256,876/x
3. Step 3: Cross multiply
   116,774x = 256,876 × 256,876
4. Step 4: Simplify right side
   116,774x = 65,985,279,376
5. Step 5: Solve for x
   x = 65,985,279,376/116,774
6. Step 6: Final answer
   x = 565,068.25