Finding the Third Proportional to 785.95 and 1,191.27

Step by Step Solution

1. Step 1: Write the proportion equation
   785.95 : 1,191.27 = 1,191.27 : x
2. Step 2: Convert to fraction form
   785.95/1,191.27 = 1,191.27/x
3. Step 3: Cross multiply
   785.95x = 1,191.27 × 1,191.27
4. Step 4: Simplify right side
   785.95x = 1,419,123.10
5. Step 5: Solve for x
   x = 1,419,123.10/785.95
6. Step 6: Final answer
   x = 1,805.61