Finding the Third Proportional to 138,142 and 206,360

Step by Step Solution

1. Step 1: Write the proportion equation
   138,142 : 206,360 = 206,360 : x
2. Step 2: Convert to fraction form
   138,142/206,360 = 206,360/x
3. Step 3: Cross multiply
   138,142x = 206,360 × 206,360
4. Step 4: Simplify right side
   138,142x = 42,584,449,600
5. Step 5: Solve for x
   x = 42,584,449,600/138,142
6. Step 6: Final answer
   x = 308,265.77