Finding the Third Proportional to 138,387.75 and 206,862

Step by Step Solution

1. Step 1: Write the proportion equation
   138,387.75 : 206,862 = 206,862 : x
2. Step 2: Convert to fraction form
   138,387.75/206,862 = 206,862/x
3. Step 3: Cross multiply
   138,387.75x = 206,862 × 206,862
4. Step 4: Simplify right side
   138,387.75x = 42,791,887,044
5. Step 5: Solve for x
   x = 42,791,887,044/138,387.75
6. Step 6: Final answer
   x = 309,217.30