Finding the Third Proportional to 72,666 and 162,339

Step by Step Solution

1. Step 1: Write the proportion equation
   72,666 : 162,339 = 162,339 : x
2. Step 2: Convert to fraction form
   72,666/162,339 = 162,339/x
3. Step 3: Cross multiply
   72,666x = 162,339 × 162,339
4. Step 4: Simplify right side
   72,666x = 26,353,950,921
5. Step 5: Solve for x
   x = 26,353,950,921/72,666
6. Step 6: Final answer
   x = 362,672.38