Finding the Third Proportional to 99.67 and 214.52

Step by Step Solution

1. Step 1: Write the proportion equation
   99.67 : 214.52 = 214.52 : x
2. Step 2: Convert to fraction form
   99.67/214.52 = 214.52/x
3. Step 3: Cross multiply
   99.67x = 214.52 × 214.52
4. Step 4: Simplify right side
   99.67x = 46,020.31
5. Step 5: Solve for x
   x = 46,020.31/99.67
6. Step 6: Final answer
   x = 461.74