Finding the Third Proportional to 788.25 and 1,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   788.25 : 1,225.50 = 1,225.50 : x
2. Step 2: Convert to fraction form
   788.25/1,225.50 = 1,225.50/x
3. Step 3: Cross multiply
   788.25x = 1,225.50 × 1,225.50
4. Step 4: Simplify right side
   788.25x = 1,501,850.25
5. Step 5: Solve for x
   x = 1,501,850.25/788.25
6. Step 6: Final answer
   x = 1,905.30