Finding the Third Proportional to 72,662 and 162,333

Step by Step Solution

1. Step 1: Write the proportion equation
   72,662 : 162,333 = 162,333 : x
2. Step 2: Convert to fraction form
   72,662/162,333 = 162,333/x
3. Step 3: Cross multiply
   72,662x = 162,333 × 162,333
4. Step 4: Simplify right side
   72,662x = 26,352,002,889
5. Step 5: Solve for x
   x = 26,352,002,889/72,662
6. Step 6: Final answer
   x = 362,665.53