Finding the Third Proportional to 85,162 and 179,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,162 : 179,142.50 = 179,142.50 : x
2. Step 2: Convert to fraction form
   85,162/179,142.50 = 179,142.50/x
3. Step 3: Cross multiply
   85,162x = 179,142.50 × 179,142.50
4. Step 4: Simplify right side
   85,162x = 32,092,035,306.25
5. Step 5: Solve for x
   x = 32,092,035,306.25/85,162
6. Step 6: Final answer
   x = 376,835.15