Finding the Third Proportional to 56,780 and 123,382

Step by Step Solution

1. Step 1: Write the proportion equation
   56,780 : 123,382 = 123,382 : x
2. Step 2: Convert to fraction form
   56,780/123,382 = 123,382/x
3. Step 3: Cross multiply
   56,780x = 123,382 × 123,382
4. Step 4: Simplify right side
   56,780x = 15,223,117,924
5. Step 5: Solve for x
   x = 15,223,117,924/56,780
6. Step 6: Final answer
   x = 268,107.04