Finding the Third Proportional to 346.31 and 454.69

Step by Step Solution

1. Step 1: Write the proportion equation
   346.31 : 454.69 = 454.69 : x
2. Step 2: Convert to fraction form
   346.31/454.69 = 454.69/x
3. Step 3: Cross multiply
   346.31x = 454.69 × 454.69
4. Step 4: Simplify right side
   346.31x = 206,740.72
5. Step 5: Solve for x
   x = 206,740.72/346.31
6. Step 6: Final answer
   x = 596.98