Finding the Third Proportional to 402.52 and 848.27

Step by Step Solution

1. Step 1: Write the proportion equation
   402.52 : 848.27 = 848.27 : x
2. Step 2: Convert to fraction form
   402.52/848.27 = 848.27/x
3. Step 3: Cross multiply
   402.52x = 848.27 × 848.27
4. Step 4: Simplify right side
   402.52x = 719,567.82
5. Step 5: Solve for x
   x = 719,567.82/402.52
6. Step 6: Final answer
   x = 1,787.68