Finding the Third Proportional to 99,882 and 213,980

Step by Step Solution

1. Step 1: Write the proportion equation
   99,882 : 213,980 = 213,980 : x
2. Step 2: Convert to fraction form
   99,882/213,980 = 213,980/x
3. Step 3: Cross multiply
   99,882x = 213,980 × 213,980
4. Step 4: Simplify right side
   99,882x = 45,787,440,400
5. Step 5: Solve for x
   x = 45,787,440,400/99,882
6. Step 6: Final answer
   x = 458,415.33