Finding the Third Proportional to 57,685.50 and 123,024.75

Step by Step Solution

1. Step 1: Write the proportion equation
   57,685.50 : 123,024.75 = 123,024.75 : x
2. Step 2: Convert to fraction form
   57,685.50/123,024.75 = 123,024.75/x
3. Step 3: Cross multiply
   57,685.50x = 123,024.75 × 123,024.75
4. Step 4: Simplify right side
   57,685.50x = 15,135,089,112.56
5. Step 5: Solve for x
   x = 15,135,089,112.56/57,685.50
6. Step 6: Final answer
   x = 262,372.50