Finding the Third Proportional to 116,166 and 254,466

Step by Step Solution

1. Step 1: Write the proportion equation
   116,166 : 254,466 = 254,466 : x
2. Step 2: Convert to fraction form
   116,166/254,466 = 254,466/x
3. Step 3: Cross multiply
   116,166x = 254,466 × 254,466
4. Step 4: Simplify right side
   116,166x = 64,752,945,156
5. Step 5: Solve for x
   x = 64,752,945,156/116,166
6. Step 6: Final answer
   x = 557,417.36