Finding the Third Proportional to 57,834 and 126,146

Step by Step Solution

1. Step 1: Write the proportion equation
   57,834 : 126,146 = 126,146 : x
2. Step 2: Convert to fraction form
   57,834/126,146 = 126,146/x
3. Step 3: Cross multiply
   57,834x = 126,146 × 126,146
4. Step 4: Simplify right side
   57,834x = 15,912,813,316
5. Step 5: Solve for x
   x = 15,912,813,316/57,834
6. Step 6: Final answer
   x = 275,146.34