Finding the Third Proportional to 76,842 and 162,108

Step by Step Solution

1. Step 1: Write the proportion equation
   76,842 : 162,108 = 162,108 : x
2. Step 2: Convert to fraction form
   76,842/162,108 = 162,108/x
3. Step 3: Cross multiply
   76,842x = 162,108 × 162,108
4. Step 4: Simplify right side
   76,842x = 26,279,003,664
5. Step 5: Solve for x
   x = 26,279,003,664/76,842
6. Step 6: Final answer
   x = 341,987.50