Finding the Third Proportional to 99,585 and 215,019

Step by Step Solution

1. Step 1: Write the proportion equation
   99,585 : 215,019 = 215,019 : x
2. Step 2: Convert to fraction form
   99,585/215,019 = 215,019/x
3. Step 3: Cross multiply
   99,585x = 215,019 × 215,019
4. Step 4: Simplify right side
   99,585x = 46,233,170,361
5. Step 5: Solve for x
   x = 46,233,170,361/99,585
6. Step 6: Final answer
   x = 464,258.38