Finding the Third Proportional to 56,686 and 123,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,686 : 123,578.50 = 123,578.50 : x
2. Step 2: Convert to fraction form
   56,686/123,578.50 = 123,578.50/x
3. Step 3: Cross multiply
   56,686x = 123,578.50 × 123,578.50
4. Step 4: Simplify right side
   56,686x = 15,271,645,662.25
5. Step 5: Solve for x
   x = 15,271,645,662.25/56,686
6. Step 6: Final answer
   x = 269,407.71