Finding the Third Proportional to 69,472 and 152,016

Step by Step Solution

1. Step 1: Write the proportion equation
   69,472 : 152,016 = 152,016 : x
2. Step 2: Convert to fraction form
   69,472/152,016 = 152,016/x
3. Step 3: Cross multiply
   69,472x = 152,016 × 152,016
4. Step 4: Simplify right side
   69,472x = 23,108,864,256
5. Step 5: Solve for x
   x = 23,108,864,256/69,472
6. Step 6: Final answer
   x = 332,635.66