Finding the Third Proportional to 71,164 and 154,016

Step by Step Solution

1. Step 1: Write the proportion equation
   71,164 : 154,016 = 154,016 : x
2. Step 2: Convert to fraction form
   71,164/154,016 = 154,016/x
3. Step 3: Cross multiply
   71,164x = 154,016 × 154,016
4. Step 4: Simplify right side
   71,164x = 23,720,928,256
5. Step 5: Solve for x
   x = 23,720,928,256/71,164
6. Step 6: Final answer
   x = 333,327.64