Finding the Third Proportional to 57,365 and 123,520

Step by Step Solution

1. Step 1: Write the proportion equation
   57,365 : 123,520 = 123,520 : x
2. Step 2: Convert to fraction form
   57,365/123,520 = 123,520/x
3. Step 3: Cross multiply
   57,365x = 123,520 × 123,520
4. Step 4: Simplify right side
   57,365x = 15,257,190,400
5. Step 5: Solve for x
   x = 15,257,190,400/57,365
6. Step 6: Final answer
   x = 265,966.89