Finding the Third Proportional to 57,400 and 123,596

Step by Step Solution

1. Step 1: Write the proportion equation
   57,400 : 123,596 = 123,596 : x
2. Step 2: Convert to fraction form
   57,400/123,596 = 123,596/x
3. Step 3: Cross multiply
   57,400x = 123,596 × 123,596
4. Step 4: Simplify right side
   57,400x = 15,275,971,216
5. Step 5: Solve for x
   x = 15,275,971,216/57,400
6. Step 6: Final answer
   x = 266,131.90