Finding the Third Proportional to 72,667 and 162,341

Step by Step Solution

1. Step 1: Write the proportion equation
   72,667 : 162,341 = 162,341 : x
2. Step 2: Convert to fraction form
   72,667/162,341 = 162,341/x
3. Step 3: Cross multiply
   72,667x = 162,341 × 162,341
4. Step 4: Simplify right side
   72,667x = 26,354,600,281
5. Step 5: Solve for x
   x = 26,354,600,281/72,667
6. Step 6: Final answer
   x = 362,676.32