Finding the Third Proportional to 527.47 and 819.69

Step by Step Solution

1. Step 1: Write the proportion equation
   527.47 : 819.69 = 819.69 : x
2. Step 2: Convert to fraction form
   527.47/819.69 = 819.69/x
3. Step 3: Cross multiply
   527.47x = 819.69 × 819.69
4. Step 4: Simplify right side
   527.47x = 671,887.60
5. Step 5: Solve for x
   x = 671,887.60/527.47
6. Step 6: Final answer
   x = 1,273.80