Finding the Third Proportional to 56,742 and 123,664

Step by Step Solution

1. Step 1: Write the proportion equation
   56,742 : 123,664 = 123,664 : x
2. Step 2: Convert to fraction form
   56,742/123,664 = 123,664/x
3. Step 3: Cross multiply
   56,742x = 123,664 × 123,664
4. Step 4: Simplify right side
   56,742x = 15,292,784,896
5. Step 5: Solve for x
   x = 15,292,784,896/56,742
6. Step 6: Final answer
   x = 269,514.38