Finding the Third Proportional to 56,689 and 123,584

Step by Step Solution

1. Step 1: Write the proportion equation
   56,689 : 123,584 = 123,584 : x
2. Step 2: Convert to fraction form
   56,689/123,584 = 123,584/x
3. Step 3: Cross multiply
   56,689x = 123,584 × 123,584
4. Step 4: Simplify right side
   56,689x = 15,273,005,056
5. Step 5: Solve for x
   x = 15,273,005,056/56,689
6. Step 6: Final answer
   x = 269,417.44