Finding the Third Proportional to 99,802 and 213,436

Step by Step Solution

1. Step 1: Write the proportion equation
   99,802 : 213,436 = 213,436 : x
2. Step 2: Convert to fraction form
   99,802/213,436 = 213,436/x
3. Step 3: Cross multiply
   99,802x = 213,436 × 213,436
4. Step 4: Simplify right side
   99,802x = 45,554,926,096
5. Step 5: Solve for x
   x = 45,554,926,096/99,802
6. Step 6: Final answer
   x = 456,453.04