Finding the Third Proportional to 1,179.56 and 1,624.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.56 : 1,624.78 = 1,624.78 : x
2. Step 2: Convert to fraction form
   1,179.56/1,624.78 = 1,624.78/x
3. Step 3: Cross multiply
   1,179.56x = 1,624.78 × 1,624.78
4. Step 4: Simplify right side
   1,179.56x = 2,639,914.11
5. Step 5: Solve for x
   x = 2,639,914.11/1,179.56
6. Step 6: Final answer
   x = 2,238.05