Finding the Third Proportional to 73,840 and 152,016

Step by Step Solution

1. Step 1: Write the proportion equation
   73,840 : 152,016 = 152,016 : x
2. Step 2: Convert to fraction form
   73,840/152,016 = 152,016/x
3. Step 3: Cross multiply
   73,840x = 152,016 × 152,016
4. Step 4: Simplify right side
   73,840x = 23,108,864,256
5. Step 5: Solve for x
   x = 23,108,864,256/73,840
6. Step 6: Final answer
   x = 312,958.62