Finding the Third Proportional to 99.38 and 214.13

Step by Step Solution

1. Step 1: Write the proportion equation
   99.38 : 214.13 = 214.13 : x
2. Step 2: Convert to fraction form
   99.38/214.13 = 214.13/x
3. Step 3: Cross multiply
   99.38x = 214.13 × 214.13
4. Step 4: Simplify right side
   99.38x = 45,849.52
5. Step 5: Solve for x
   x = 45,849.52/99.38
6. Step 6: Final answer
   x = 461.38