Finding the Third Proportional to 150,565 and 200,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,565 : 200,729.50 = 200,729.50 : x
2. Step 2: Convert to fraction form
   150,565/200,729.50 = 200,729.50/x
3. Step 3: Cross multiply
   150,565x = 200,729.50 × 200,729.50
4. Step 4: Simplify right side
   150,565x = 40,292,332,170.25
5. Step 5: Solve for x
   x = 40,292,332,170.25/150,565
6. Step 6: Final answer
   x = 267,607.56