Finding the Third Proportional to 81,876 and 146,904

Step by Step Solution

1. Step 1: Write the proportion equation
   81,876 : 146,904 = 146,904 : x
2. Step 2: Convert to fraction form
   81,876/146,904 = 146,904/x
3. Step 3: Cross multiply
   81,876x = 146,904 × 146,904
4. Step 4: Simplify right side
   81,876x = 21,580,785,216
5. Step 5: Solve for x
   x = 21,580,785,216/81,876
6. Step 6: Final answer
   x = 263,578.89