Finding the Third Proportional to 138,710.50 and 209,524

Step by Step Solution

1. Step 1: Write the proportion equation
   138,710.50 : 209,524 = 209,524 : x
2. Step 2: Convert to fraction form
   138,710.50/209,524 = 209,524/x
3. Step 3: Cross multiply
   138,710.50x = 209,524 × 209,524
4. Step 4: Simplify right side
   138,710.50x = 43,900,306,576
5. Step 5: Solve for x
   x = 43,900,306,576/138,710.50
6. Step 6: Final answer
   x = 316,488.71