Finding the Third Proportional to 57,780 and 123,372

Step by Step Solution

1. Step 1: Write the proportion equation
   57,780 : 123,372 = 123,372 : x
2. Step 2: Convert to fraction form
   57,780/123,372 = 123,372/x
3. Step 3: Cross multiply
   57,780x = 123,372 × 123,372
4. Step 4: Simplify right side
   57,780x = 15,220,650,384
5. Step 5: Solve for x
   x = 15,220,650,384/57,780
6. Step 6: Final answer
   x = 263,424.20