Finding the Third Proportional to 85,786.50 and 123,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,786.50 : 123,757.50 = 123,757.50 : x
2. Step 2: Convert to fraction form
   85,786.50/123,757.50 = 123,757.50/x
3. Step 3: Cross multiply
   85,786.50x = 123,757.50 × 123,757.50
4. Step 4: Simplify right side
   85,786.50x = 15,315,918,806.25
5. Step 5: Solve for x
   x = 15,315,918,806.25/85,786.50
6. Step 6: Final answer
   x = 178,535.30