Finding the Third Proportional to 56,685.50 and 123,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,685.50 : 123,577.50 = 123,577.50 : x
2. Step 2: Convert to fraction form
   56,685.50/123,577.50 = 123,577.50/x
3. Step 3: Cross multiply
   56,685.50x = 123,577.50 × 123,577.50
4. Step 4: Simplify right side
   56,685.50x = 15,271,398,506.25
5. Step 5: Solve for x
   x = 15,271,398,506.25/56,685.50
6. Step 6: Final answer
   x = 269,405.73