Finding the Third Proportional to 345.42 and 527.72

Step by Step Solution

1. Step 1: Write the proportion equation
   345.42 : 527.72 = 527.72 : x
2. Step 2: Convert to fraction form
   345.42/527.72 = 527.72/x
3. Step 3: Cross multiply
   345.42x = 527.72 × 527.72
4. Step 4: Simplify right side
   345.42x = 278,487.08
5. Step 5: Solve for x
   x = 278,487.08/345.42
6. Step 6: Final answer
   x = 806.22