Finding the Third Proportional to 99.25 and 214.63

Step by Step Solution

1. Step 1: Write the proportion equation
   99.25 : 214.63 = 214.63 : x
2. Step 2: Convert to fraction form
   99.25/214.63 = 214.63/x
3. Step 3: Cross multiply
   99.25x = 214.63 × 214.63
4. Step 4: Simplify right side
   99.25x = 46,063.89
5. Step 5: Solve for x
   x = 46,063.89/99.25
6. Step 6: Final answer
   x = 464.12