Finding the Third Proportional to 56,896 and 123,776

Step by Step Solution

1. Step 1: Write the proportion equation
   56,896 : 123,776 = 123,776 : x
2. Step 2: Convert to fraction form
   56,896/123,776 = 123,776/x
3. Step 3: Cross multiply
   56,896x = 123,776 × 123,776
4. Step 4: Simplify right side
   56,896x = 15,320,498,176
5. Step 5: Solve for x
   x = 15,320,498,176/56,896
6. Step 6: Final answer
   x = 269,271.97