Finding the Third Proportional to 56,736 and 123,400

Step by Step Solution

1. Step 1: Write the proportion equation
   56,736 : 123,400 = 123,400 : x
2. Step 2: Convert to fraction form
   56,736/123,400 = 123,400/x
3. Step 3: Cross multiply
   56,736x = 123,400 × 123,400
4. Step 4: Simplify right side
   56,736x = 15,227,560,000
5. Step 5: Solve for x
   x = 15,227,560,000/56,736
6. Step 6: Final answer
   x = 268,393.26