Finding the Third Proportional to 58,466 and 126,274

Step by Step Solution

1. Step 1: Write the proportion equation
   58,466 : 126,274 = 126,274 : x
2. Step 2: Convert to fraction form
   58,466/126,274 = 126,274/x
3. Step 3: Cross multiply
   58,466x = 126,274 × 126,274
4. Step 4: Simplify right side
   58,466x = 15,945,123,076
5. Step 5: Solve for x
   x = 15,945,123,076/58,466
6. Step 6: Final answer
   x = 272,724.71