Finding the Third Proportional to 57,524 and 123,046

Step by Step Solution

1. Step 1: Write the proportion equation
   57,524 : 123,046 = 123,046 : x
2. Step 2: Convert to fraction form
   57,524/123,046 = 123,046/x
3. Step 3: Cross multiply
   57,524x = 123,046 × 123,046
4. Step 4: Simplify right side
   57,524x = 15,140,318,116
5. Step 5: Solve for x
   x = 15,140,318,116/57,524
6. Step 6: Final answer
   x = 263,200.02