Finding the Third Proportional to 76,446 and 162,142

Step by Step Solution

1. Step 1: Write the proportion equation
   76,446 : 162,142 = 162,142 : x
2. Step 2: Convert to fraction form
   76,446/162,142 = 162,142/x
3. Step 3: Cross multiply
   76,446x = 162,142 × 162,142
4. Step 4: Simplify right side
   76,446x = 26,290,028,164
5. Step 5: Solve for x
   x = 26,290,028,164/76,446
6. Step 6: Final answer
   x = 343,903.25