Finding the Third Proportional to 70.45 and 182.04

Step by Step Solution

1. Step 1: Write the proportion equation
   70.45 : 182.04 = 182.04 : x
2. Step 2: Convert to fraction form
   70.45/182.04 = 182.04/x
3. Step 3: Cross multiply
   70.45x = 182.04 × 182.04
4. Step 4: Simplify right side
   70.45x = 33,138.22
5. Step 5: Solve for x
   x = 33,138.22/70.45
6. Step 6: Final answer
   x = 470.36