Finding the Third Proportional to 422.72 and 601.17

Step by Step Solution

1. Step 1: Write the proportion equation
   422.72 : 601.17 = 601.17 : x
2. Step 2: Convert to fraction form
   422.72/601.17 = 601.17/x
3. Step 3: Cross multiply
   422.72x = 601.17 × 601.17
4. Step 4: Simplify right side
   422.72x = 361,407.62
5. Step 5: Solve for x
   x = 361,407.62/422.72
6. Step 6: Final answer
   x = 854.96