Finding the Third Proportional to 123,640 and 186,040

Step by Step Solution

1. Step 1: Write the proportion equation
   123,640 : 186,040 = 186,040 : x
2. Step 2: Convert to fraction form
   123,640/186,040 = 186,040/x
3. Step 3: Cross multiply
   123,640x = 186,040 × 186,040
4. Step 4: Simplify right side
   123,640x = 34,610,881,600
5. Step 5: Solve for x
   x = 34,610,881,600/123,640
6. Step 6: Final answer
   x = 279,932.72