Finding the Third Proportional to 214.31 and 457.31

Step by Step Solution

1. Step 1: Write the proportion equation
   214.31 : 457.31 = 457.31 : x
2. Step 2: Convert to fraction form
   214.31/457.31 = 457.31/x
3. Step 3: Cross multiply
   214.31x = 457.31 × 457.31
4. Step 4: Simplify right side
   214.31x = 209,134.72
5. Step 5: Solve for x
   x = 209,134.72/214.31
6. Step 6: Final answer
   x = 975.84