Finding the Third Proportional to 100,976 and 212,398

Step by Step Solution

1. Step 1: Write the proportion equation
   100,976 : 212,398 = 212,398 : x
2. Step 2: Convert to fraction form
   100,976/212,398 = 212,398/x
3. Step 3: Cross multiply
   100,976x = 212,398 × 212,398
4. Step 4: Simplify right side
   100,976x = 45,112,910,404
5. Step 5: Solve for x
   x = 45,112,910,404/100,976
6. Step 6: Final answer
   x = 446,768.64