Finding the Third Proportional to 116,782 and 256,892

Step by Step Solution

1. Step 1: Write the proportion equation
   116,782 : 256,892 = 256,892 : x
2. Step 2: Convert to fraction form
   116,782/256,892 = 256,892/x
3. Step 3: Cross multiply
   116,782x = 256,892 × 256,892
4. Step 4: Simplify right side
   116,782x = 65,993,499,664
5. Step 5: Solve for x
   x = 65,993,499,664/116,782
6. Step 6: Final answer
   x = 565,099.93