Finding the Third Proportional to 150,613.50 and 200,796

Step by Step Solution

1. Step 1: Write the proportion equation
   150,613.50 : 200,796 = 200,796 : x
2. Step 2: Convert to fraction form
   150,613.50/200,796 = 200,796/x
3. Step 3: Cross multiply
   150,613.50x = 200,796 × 200,796
4. Step 4: Simplify right side
   150,613.50x = 40,319,033,616
5. Step 5: Solve for x
   x = 40,319,033,616/150,613.50
6. Step 6: Final answer
   x = 267,698.67