Finding the Third Proportional to 527.63 and 775.31

Step by Step Solution

1. Step 1: Write the proportion equation
   527.63 : 775.31 = 775.31 : x
2. Step 2: Convert to fraction form
   527.63/775.31 = 775.31/x
3. Step 3: Cross multiply
   527.63x = 775.31 × 775.31
4. Step 4: Simplify right side
   527.63x = 601,109.47
5. Step 5: Solve for x
   x = 601,109.47/527.63
6. Step 6: Final answer
   x = 1,139.27