Finding the Third Proportional to 42,772 and 103,649

Step by Step Solution

1. Step 1: Write the proportion equation
   42,772 : 103,649 = 103,649 : x
2. Step 2: Convert to fraction form
   42,772/103,649 = 103,649/x
3. Step 3: Cross multiply
   42,772x = 103,649 × 103,649
4. Step 4: Simplify right side
   42,772x = 10,743,115,201
5. Step 5: Solve for x
   x = 10,743,115,201/42,772
6. Step 6: Final answer
   x = 251,171.68