Finding the Third Proportional to 781.50 and 1,179.56

Step by Step Solution

1. Step 1: Write the proportion equation
   781.50 : 1,179.56 = 1,179.56 : x
2. Step 2: Convert to fraction form
   781.50/1,179.56 = 1,179.56/x
3. Step 3: Cross multiply
   781.50x = 1,179.56 × 1,179.56
4. Step 4: Simplify right side
   781.50x = 1,391,367.69
5. Step 5: Solve for x
   x = 1,391,367.69/781.50
6. Step 6: Final answer
   x = 1,780.38