Finding the Third Proportional to 73,842 and 158,184

Step by Step Solution

1. Step 1: Write the proportion equation
   73,842 : 158,184 = 158,184 : x
2. Step 2: Convert to fraction form
   73,842/158,184 = 158,184/x
3. Step 3: Cross multiply
   73,842x = 158,184 × 158,184
4. Step 4: Simplify right side
   73,842x = 25,022,177,856
5. Step 5: Solve for x
   x = 25,022,177,856/73,842
6. Step 6: Final answer
   x = 338,861.05