Finding the Third Proportional to 785.50 and 1,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   785.50 : 1,184.50 = 1,184.50 : x
2. Step 2: Convert to fraction form
   785.50/1,184.50 = 1,184.50/x
3. Step 3: Cross multiply
   785.50x = 1,184.50 × 1,184.50
4. Step 4: Simplify right side
   785.50x = 1,403,040.25
5. Step 5: Solve for x
   x = 1,403,040.25/785.50
6. Step 6: Final answer
   x = 1,786.17