Finding the Third Proportional to 527.31 and 770.69

Step by Step Solution

1. Step 1: Write the proportion equation
   527.31 : 770.69 = 770.69 : x
2. Step 2: Convert to fraction form
   527.31/770.69 = 770.69/x
3. Step 3: Cross multiply
   527.31x = 770.69 × 770.69
4. Step 4: Simplify right side
   527.31x = 593,959.22
5. Step 5: Solve for x
   x = 593,959.22/527.31
6. Step 6: Final answer
   x = 1,126.39