Finding the Third Proportional to 69,759 and 155,016

Step by Step Solution

1. Step 1: Write the proportion equation
   69,759 : 155,016 = 155,016 : x
2. Step 2: Convert to fraction form
   69,759/155,016 = 155,016/x
3. Step 3: Cross multiply
   69,759x = 155,016 × 155,016
4. Step 4: Simplify right side
   69,759x = 24,029,960,256
5. Step 5: Solve for x
   x = 24,029,960,256/69,759
6. Step 6: Final answer
   x = 344,471.11