Finding the Third Proportional to 55,637 and 123,714

Step by Step Solution

1. Step 1: Write the proportion equation
   55,637 : 123,714 = 123,714 : x
2. Step 2: Convert to fraction form
   55,637/123,714 = 123,714/x
3. Step 3: Cross multiply
   55,637x = 123,714 × 123,714
4. Step 4: Simplify right side
   55,637x = 15,305,153,796
5. Step 5: Solve for x
   x = 15,305,153,796/55,637
6. Step 6: Final answer
   x = 275,089.49