Finding the Third Proportional to 105,992 and 224,620

Step by Step Solution

1. Step 1: Write the proportion equation
   105,992 : 224,620 = 224,620 : x
2. Step 2: Convert to fraction form
   105,992/224,620 = 224,620/x
3. Step 3: Cross multiply
   105,992x = 224,620 × 224,620
4. Step 4: Simplify right side
   105,992x = 50,454,144,400
5. Step 5: Solve for x
   x = 50,454,144,400/105,992
6. Step 6: Final answer
   x = 476,018.42