Finding the Third Proportional to 61,910 and 138,040

Step by Step Solution

1. Step 1: Write the proportion equation
   61,910 : 138,040 = 138,040 : x
2. Step 2: Convert to fraction form
   61,910/138,040 = 138,040/x
3. Step 3: Cross multiply
   61,910x = 138,040 × 138,040
4. Step 4: Simplify right side
   61,910x = 19,055,041,600
5. Step 5: Solve for x
   x = 19,055,041,600/61,910
6. Step 6: Final answer
   x = 307,786.17