Finding the Third Proportional to 83,616 and 180,864

Step by Step Solution

1. Step 1: Write the proportion equation
   83,616 : 180,864 = 180,864 : x
2. Step 2: Convert to fraction form
   83,616/180,864 = 180,864/x
3. Step 3: Cross multiply
   83,616x = 180,864 × 180,864
4. Step 4: Simplify right side
   83,616x = 32,711,786,496
5. Step 5: Solve for x
   x = 32,711,786,496/83,616
6. Step 6: Final answer
   x = 391,214.44