Finding the Third Proportional to 99,586 and 215,020

Step by Step Solution

1. Step 1: Write the proportion equation
   99,586 : 215,020 = 215,020 : x
2. Step 2: Convert to fraction form
   99,586/215,020 = 215,020/x
3. Step 3: Cross multiply
   99,586x = 215,020 × 215,020
4. Step 4: Simplify right side
   99,586x = 46,233,600,400
5. Step 5: Solve for x
   x = 46,233,600,400/99,586
6. Step 6: Final answer
   x = 464,258.03