Finding the Third Proportional to 99,880 and 213,976

Step by Step Solution

1. Step 1: Write the proportion equation
   99,880 : 213,976 = 213,976 : x
2. Step 2: Convert to fraction form
   99,880/213,976 = 213,976/x
3. Step 3: Cross multiply
   99,880x = 213,976 × 213,976
4. Step 4: Simplify right side
   99,880x = 45,785,728,576
5. Step 5: Solve for x
   x = 45,785,728,576/99,880
6. Step 6: Final answer
   x = 458,407.37