Finding the Third Proportional to 742.50 and 828.56

Step by Step Solution

1. Step 1: Write the proportion equation
   742.50 : 828.56 = 828.56 : x
2. Step 2: Convert to fraction form
   742.50/828.56 = 828.56/x
3. Step 3: Cross multiply
   742.50x = 828.56 × 828.56
4. Step 4: Simplify right side
   742.50x = 686,515.82
5. Step 5: Solve for x
   x = 686,515.82/742.50
6. Step 6: Final answer
   x = 924.60