Finding the Third Proportional to 57,672 and 123,648

Step by Step Solution

1. Step 1: Write the proportion equation
   57,672 : 123,648 = 123,648 : x
2. Step 2: Convert to fraction form
   57,672/123,648 = 123,648/x
3. Step 3: Cross multiply
   57,672x = 123,648 × 123,648
4. Step 4: Simplify right side
   57,672x = 15,288,827,904
5. Step 5: Solve for x
   x = 15,288,827,904/57,672
6. Step 6: Final answer
   x = 265,099.67