Finding the Third Proportional to 310.31 and 422.59

Step by Step Solution

1. Step 1: Write the proportion equation
   310.31 : 422.59 = 422.59 : x
2. Step 2: Convert to fraction form
   310.31/422.59 = 422.59/x
3. Step 3: Cross multiply
   310.31x = 422.59 × 422.59
4. Step 4: Simplify right side
   310.31x = 178,585.48
5. Step 5: Solve for x
   x = 178,585.48/310.31
6. Step 6: Final answer
   x = 575.50