Finding the Third Proportional to 214.69 and 337.31

Step by Step Solution

1. Step 1: Write the proportion equation
   214.69 : 337.31 = 337.31 : x
2. Step 2: Convert to fraction form
   214.69/337.31 = 337.31/x
3. Step 3: Cross multiply
   214.69x = 337.31 × 337.31
4. Step 4: Simplify right side
   214.69x = 113,779.72
5. Step 5: Solve for x
   x = 113,779.72/214.69
6. Step 6: Final answer
   x = 529.98