Finding the Third Proportional to 99,697 and 215,048

Step by Step Solution

1. Step 1: Write the proportion equation
   99,697 : 215,048 = 215,048 : x
2. Step 2: Convert to fraction form
   99,697/215,048 = 215,048/x
3. Step 3: Cross multiply
   99,697x = 215,048 × 215,048
4. Step 4: Simplify right side
   99,697x = 46,245,642,304
5. Step 5: Solve for x
   x = 46,245,642,304/99,697
6. Step 6: Final answer
   x = 463,861.92