Finding the Third Proportional to 214.52 and 456.81

Step by Step Solution

1. Step 1: Write the proportion equation
   214.52 : 456.81 = 456.81 : x
2. Step 2: Convert to fraction form
   214.52/456.81 = 456.81/x
3. Step 3: Cross multiply
   214.52x = 456.81 × 456.81
4. Step 4: Simplify right side
   214.52x = 208,676.77
5. Step 5: Solve for x
   x = 208,676.77/214.52
6. Step 6: Final answer
   x = 972.75