Finding the Third Proportional to 56,684 and 123,574

Step by Step Solution

1. Step 1: Write the proportion equation
   56,684 : 123,574 = 123,574 : x
2. Step 2: Convert to fraction form
   56,684/123,574 = 123,574/x
3. Step 3: Cross multiply
   56,684x = 123,574 × 123,574
4. Step 4: Simplify right side
   56,684x = 15,270,533,476
5. Step 5: Solve for x
   x = 15,270,533,476/56,684
6. Step 6: Final answer
   x = 269,397.60