Finding the Third Proportional to 150,499 and 200,733

Step by Step Solution

1. Step 1: Write the proportion equation
   150,499 : 200,733 = 200,733 : x
2. Step 2: Convert to fraction form
   150,499/200,733 = 200,733/x
3. Step 3: Cross multiply
   150,499x = 200,733 × 200,733
4. Step 4: Simplify right side
   150,499x = 40,293,737,289
5. Step 5: Solve for x
   x = 40,293,737,289/150,499
6. Step 6: Final answer
   x = 267,734.25