Finding the Third Proportional to 116,772 and 256,872

Step by Step Solution

1. Step 1: Write the proportion equation
   116,772 : 256,872 = 256,872 : x
2. Step 2: Convert to fraction form
   116,772/256,872 = 256,872/x
3. Step 3: Cross multiply
   116,772x = 256,872 × 256,872
4. Step 4: Simplify right side
   116,772x = 65,983,224,384
5. Step 5: Solve for x
   x = 65,983,224,384/116,772
6. Step 6: Final answer
   x = 565,060.33