Finding the Third Proportional to 772.31 and 1,171.69

Step by Step Solution

1. Step 1: Write the proportion equation
   772.31 : 1,171.69 = 1,171.69 : x
2. Step 2: Convert to fraction form
   772.31/1,171.69 = 1,171.69/x
3. Step 3: Cross multiply
   772.31x = 1,171.69 × 1,171.69
4. Step 4: Simplify right side
   772.31x = 1,372,851.60
5. Step 5: Solve for x
   x = 1,372,851.60/772.31
6. Step 6: Final answer
   x = 1,777.59