Finding the Third Proportional to 99,785 and 213,406

Step by Step Solution

1. Step 1: Write the proportion equation
   99,785 : 213,406 = 213,406 : x
2. Step 2: Convert to fraction form
   99,785/213,406 = 213,406/x
3. Step 3: Cross multiply
   99,785x = 213,406 × 213,406
4. Step 4: Simplify right side
   99,785x = 45,542,120,836
5. Step 5: Solve for x
   x = 45,542,120,836/99,785
6. Step 6: Final answer
   x = 456,402.47