Finding the Third Proportional to 422.16 and 602.72

Step by Step Solution

1. Step 1: Write the proportion equation
   422.16 : 602.72 = 602.72 : x
2. Step 2: Convert to fraction form
   422.16/602.72 = 602.72/x
3. Step 3: Cross multiply
   422.16x = 602.72 × 602.72
4. Step 4: Simplify right side
   422.16x = 363,269.89
5. Step 5: Solve for x
   x = 363,269.89/422.16
6. Step 6: Final answer
   x = 860.51