Finding the Third Proportional to 632.50 and 822.25

Step by Step Solution

1. Step 1: Write the proportion equation
   632.50 : 822.25 = 822.25 : x
2. Step 2: Convert to fraction form
   632.50/822.25 = 822.25/x
3. Step 3: Cross multiply
   632.50x = 822.25 × 822.25
4. Step 4: Simplify right side
   632.50x = 676,095.06
5. Step 5: Solve for x
   x = 676,095.06/632.50
6. Step 6: Final answer
   x = 1,068.93