Finding the Third Proportional to 69,728 and 152,416

Step by Step Solution

1. Step 1: Write the proportion equation
   69,728 : 152,416 = 152,416 : x
2. Step 2: Convert to fraction form
   69,728/152,416 = 152,416/x
3. Step 3: Cross multiply
   69,728x = 152,416 × 152,416
4. Step 4: Simplify right side
   69,728x = 23,230,637,056
5. Step 5: Solve for x
   x = 23,230,637,056/69,728
6. Step 6: Final answer
   x = 333,160.81