Finding the Third Proportional to 105,164 and 162,930

Step by Step Solution

1. Step 1: Write the proportion equation
   105,164 : 162,930 = 162,930 : x
2. Step 2: Convert to fraction form
   105,164/162,930 = 162,930/x
3. Step 3: Cross multiply
   105,164x = 162,930 × 162,930
4. Step 4: Simplify right side
   105,164x = 26,546,184,900
5. Step 5: Solve for x
   x = 26,546,184,900/105,164
6. Step 6: Final answer
   x = 252,426.54