Finding the Third Proportional to 72,669 and 162,345

Step by Step Solution

1. Step 1: Write the proportion equation
   72,669 : 162,345 = 162,345 : x
2. Step 2: Convert to fraction form
   72,669/162,345 = 162,345/x
3. Step 3: Cross multiply
   72,669x = 162,345 × 162,345
4. Step 4: Simplify right side
   72,669x = 26,355,899,025
5. Step 5: Solve for x
   x = 26,355,899,025/72,669
6. Step 6: Final answer
   x = 362,684.21