Finding the Third Proportional to 788 and 1,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   788 : 1,182.50 = 1,182.50 : x
2. Step 2: Convert to fraction form
   788/1,182.50 = 1,182.50/x
3. Step 3: Cross multiply
   788x = 1,182.50 × 1,182.50
4. Step 4: Simplify right side
   788x = 1,398,306.25
5. Step 5: Solve for x
   x = 1,398,306.25/788
6. Step 6: Final answer
   x = 1,774.50