Finding the Third Proportional to 774.50 and 828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   774.50 : 828.50 = 828.50 : x
2. Step 2: Convert to fraction form
   774.50/828.50 = 828.50/x
3. Step 3: Cross multiply
   774.50x = 828.50 × 828.50
4. Step 4: Simplify right side
   774.50x = 686,412.25
5. Step 5: Solve for x
   x = 686,412.25/774.50
6. Step 6: Final answer
   x = 886.27