Finding the Third Proportional to 150,587 and 200,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,587 : 200,755.50 = 200,755.50 : x
2. Step 2: Convert to fraction form
   150,587/200,755.50 = 200,755.50/x
3. Step 3: Cross multiply
   150,587x = 200,755.50 × 200,755.50
4. Step 4: Simplify right side
   150,587x = 40,302,770,780.25
5. Step 5: Solve for x
   x = 40,302,770,780.25/150,587
6. Step 6: Final answer
   x = 267,637.78