Finding the Third Proportional to 830.25 and 1,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   830.25 : 1,180.50 = 1,180.50 : x
2. Step 2: Convert to fraction form
   830.25/1,180.50 = 1,180.50/x
3. Step 3: Cross multiply
   830.25x = 1,180.50 × 1,180.50
4. Step 4: Simplify right side
   830.25x = 1,393,580.25
5. Step 5: Solve for x
   x = 1,393,580.25/830.25
6. Step 6: Final answer
   x = 1,678.51