Finding the Third Proportional to 150,517.69 and 206,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,517.69 : 206,401.50 = 206,401.50 : x
2. Step 2: Convert to fraction form
   150,517.69/206,401.50 = 206,401.50/x
3. Step 3: Cross multiply
   150,517.69x = 206,401.50 × 206,401.50
4. Step 4: Simplify right side
   150,517.69x = 42,601,579,202.25
5. Step 5: Solve for x
   x = 42,601,579,202.25/150,517.69
6. Step 6: Final answer
   x = 283,033.71