Finding the Third Proportional to 56,731 and 123,409

Step by Step Solution

1. Step 1: Write the proportion equation
   56,731 : 123,409 = 123,409 : x
2. Step 2: Convert to fraction form
   56,731/123,409 = 123,409/x
3. Step 3: Cross multiply
   56,731x = 123,409 × 123,409
4. Step 4: Simplify right side
   56,731x = 15,229,781,281
5. Step 5: Solve for x
   x = 15,229,781,281/56,731
6. Step 6: Final answer
   x = 268,456.07