Finding the Third Proportional to 362.81 and 527.34

Step by Step Solution

1. Step 1: Write the proportion equation
   362.81 : 527.34 = 527.34 : x
2. Step 2: Convert to fraction form
   362.81/527.34 = 527.34/x
3. Step 3: Cross multiply
   362.81x = 527.34 × 527.34
4. Step 4: Simplify right side
   362.81x = 278,091.43
5. Step 5: Solve for x
   x = 278,091.43/362.81
6. Step 6: Final answer
   x = 766.49