Finding the Third Proportional to 376.31 and 772.03

Step by Step Solution

1. Step 1: Write the proportion equation
   376.31 : 772.03 = 772.03 : x
2. Step 2: Convert to fraction form
   376.31/772.03 = 772.03/x
3. Step 3: Cross multiply
   376.31x = 772.03 × 772.03
4. Step 4: Simplify right side
   376.31x = 596,032.25
5. Step 5: Solve for x
   x = 596,032.25/376.31
6. Step 6: Final answer
   x = 1,583.88