Finding the Third Proportional to 623.25 and 832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   623.25 : 832.50 = 832.50 : x
2. Step 2: Convert to fraction form
   623.25/832.50 = 832.50/x
3. Step 3: Cross multiply
   623.25x = 832.50 × 832.50
4. Step 4: Simplify right side
   623.25x = 693,056.25
5. Step 5: Solve for x
   x = 693,056.25/623.25
6. Step 6: Final answer
   x = 1,112.00