Finding the Third Proportional to 81,838 and 123,060

Step by Step Solution

1. Step 1: Write the proportion equation
   81,838 : 123,060 = 123,060 : x
2. Step 2: Convert to fraction form
   81,838/123,060 = 123,060/x
3. Step 3: Cross multiply
   81,838x = 123,060 × 123,060
4. Step 4: Simplify right side
   81,838x = 15,143,763,600
5. Step 5: Solve for x
   x = 15,143,763,600/81,838
6. Step 6: Final answer
   x = 185,045.62