Finding the Third Proportional to 116,892 and 255,654

Step by Step Solution

1. Step 1: Write the proportion equation
   116,892 : 255,654 = 255,654 : x
2. Step 2: Convert to fraction form
   116,892/255,654 = 255,654/x
3. Step 3: Cross multiply
   116,892x = 255,654 × 255,654
4. Step 4: Simplify right side
   116,892x = 65,358,967,716
5. Step 5: Solve for x
   x = 65,358,967,716/116,892
6. Step 6: Final answer
   x = 559,139.78