Finding the Third Proportional to 56,864 and 123,820

Step by Step Solution

1. Step 1: Write the proportion equation
   56,864 : 123,820 = 123,820 : x
2. Step 2: Convert to fraction form
   56,864/123,820 = 123,820/x
3. Step 3: Cross multiply
   56,864x = 123,820 × 123,820
4. Step 4: Simplify right side
   56,864x = 15,331,392,400
5. Step 5: Solve for x
   x = 15,331,392,400/56,864
6. Step 6: Final answer
   x = 269,615.09