Finding the Third Proportional to 214.80 and 412.52

Step by Step Solution

1. Step 1: Write the proportion equation
   214.80 : 412.52 = 412.52 : x
2. Step 2: Convert to fraction form
   214.80/412.52 = 412.52/x
3. Step 3: Cross multiply
   214.80x = 412.52 × 412.52
4. Step 4: Simplify right side
   214.80x = 170,175.59
5. Step 5: Solve for x
   x = 170,175.59/214.80
6. Step 6: Final answer
   x = 792.23