Finding the Third Proportional to 58,640 and 123,040

Step by Step Solution

1. Step 1: Write the proportion equation
   58,640 : 123,040 = 123,040 : x
2. Step 2: Convert to fraction form
   58,640/123,040 = 123,040/x
3. Step 3: Cross multiply
   58,640x = 123,040 × 123,040
4. Step 4: Simplify right side
   58,640x = 15,138,841,600
5. Step 5: Solve for x
   x = 15,138,841,600/58,640
6. Step 6: Final answer
   x = 258,165.78