Finding the Third Proportional to 72,478 and 160,508

Step by Step Solution

1. Step 1: Write the proportion equation
   72,478 : 160,508 = 160,508 : x
2. Step 2: Convert to fraction form
   72,478/160,508 = 160,508/x
3. Step 3: Cross multiply
   72,478x = 160,508 × 160,508
4. Step 4: Simplify right side
   72,478x = 25,762,818,064
5. Step 5: Solve for x
   x = 25,762,818,064/72,478
6. Step 6: Final answer
   x = 355,457.08