Finding the Third Proportional to 368.31 and 532.56

Step by Step Solution

1. Step 1: Write the proportion equation
   368.31 : 532.56 = 532.56 : x
2. Step 2: Convert to fraction form
   368.31/532.56 = 532.56/x
3. Step 3: Cross multiply
   368.31x = 532.56 × 532.56
4. Step 4: Simplify right side
   368.31x = 283,622.82
5. Step 5: Solve for x
   x = 283,622.82/368.31
6. Step 6: Final answer
   x = 770.06