Finding the Third Proportional to 99,902.25 and 214,020

Step by Step Solution

1. Step 1: Write the proportion equation
   99,902.25 : 214,020 = 214,020 : x
2. Step 2: Convert to fraction form
   99,902.25/214,020 = 214,020/x
3. Step 3: Cross multiply
   99,902.25x = 214,020 × 214,020
4. Step 4: Simplify right side
   99,902.25x = 45,804,560,400
5. Step 5: Solve for x
   x = 45,804,560,400/99,902.25
6. Step 6: Final answer
   x = 458,493.78