Finding the Third Proportional to 72,682 and 162,370

Step by Step Solution

1. Step 1: Write the proportion equation
   72,682 : 162,370 = 162,370 : x
2. Step 2: Convert to fraction form
   72,682/162,370 = 162,370/x
3. Step 3: Cross multiply
   72,682x = 162,370 × 162,370
4. Step 4: Simplify right side
   72,682x = 26,364,016,900
5. Step 5: Solve for x
   x = 26,364,016,900/72,682
6. Step 6: Final answer
   x = 362,731.03