Finding the Third Proportional to 57,962 and 123,580

Step by Step Solution

1. Step 1: Write the proportion equation
   57,962 : 123,580 = 123,580 : x
2. Step 2: Convert to fraction form
   57,962/123,580 = 123,580/x
3. Step 3: Cross multiply
   57,962x = 123,580 × 123,580
4. Step 4: Simplify right side
   57,962x = 15,272,016,400
5. Step 5: Solve for x
   x = 15,272,016,400/57,962
6. Step 6: Final answer
   x = 263,483.25