Finding the Third Proportional to 345.52 and 527.77

Step by Step Solution

1. Step 1: Write the proportion equation
   345.52 : 527.77 = 527.77 : x
2. Step 2: Convert to fraction form
   345.52/527.77 = 527.77/x
3. Step 3: Cross multiply
   345.52x = 527.77 × 527.77
4. Step 4: Simplify right side
   345.52x = 278,536.55
5. Step 5: Solve for x
   x = 278,536.55/345.52
6. Step 6: Final answer
   x = 806.15