Finding the Third Proportional to 138,162 and 206,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,162 : 206,389.50 = 206,389.50 : x
2. Step 2: Convert to fraction form
   138,162/206,389.50 = 206,389.50/x
3. Step 3: Cross multiply
   138,162x = 206,389.50 × 206,389.50
4. Step 4: Simplify right side
   138,162x = 42,596,625,710.25
5. Step 5: Solve for x
   x = 42,596,625,710.25/138,162
6. Step 6: Final answer
   x = 308,309.27