Finding the Third Proportional to 99.50 and 214.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 214.75 = 214.75 : x
2. Step 2: Convert to fraction form
   99.50/214.75 = 214.75/x
3. Step 3: Cross multiply
   99.50x = 214.75 × 214.75
4. Step 4: Simplify right side
   99.50x = 46,117.56
5. Step 5: Solve for x
   x = 46,117.56/99.50
6. Step 6: Final answer
   x = 463.49