Finding the Third Proportional to 38,891 and 83,308

Step by Step Solution

1. Step 1: Write the proportion equation
   38,891 : 83,308 = 83,308 : x
2. Step 2: Convert to fraction form
   38,891/83,308 = 83,308/x
3. Step 3: Cross multiply
   38,891x = 83,308 × 83,308
4. Step 4: Simplify right side
   38,891x = 6,940,222,864
5. Step 5: Solve for x
   x = 6,940,222,864/38,891
6. Step 6: Final answer
   x = 178,453.19