Finding the Third Proportional to 105,948 and 224,532

Step by Step Solution

1. Step 1: Write the proportion equation
   105,948 : 224,532 = 224,532 : x
2. Step 2: Convert to fraction form
   105,948/224,532 = 224,532/x
3. Step 3: Cross multiply
   105,948x = 224,532 × 224,532
4. Step 4: Simplify right side
   105,948x = 50,414,619,024
5. Step 5: Solve for x
   x = 50,414,619,024/105,948
6. Step 6: Final answer
   x = 475,843.05