Finding the Third Proportional to 49,466 and 116,654

Step by Step Solution

1. Step 1: Write the proportion equation
   49,466 : 116,654 = 116,654 : x
2. Step 2: Convert to fraction form
   49,466/116,654 = 116,654/x
3. Step 3: Cross multiply
   49,466x = 116,654 × 116,654
4. Step 4: Simplify right side
   49,466x = 13,608,155,716
5. Step 5: Solve for x
   x = 13,608,155,716/49,466
6. Step 6: Final answer
   x = 275,101.20