Finding the Third Proportional to 39,456 and 86,904

Step by Step Solution

1. Step 1: Write the proportion equation
   39,456 : 86,904 = 86,904 : x
2. Step 2: Convert to fraction form
   39,456/86,904 = 86,904/x
3. Step 3: Cross multiply
   39,456x = 86,904 × 86,904
4. Step 4: Simplify right side
   39,456x = 7,552,305,216
5. Step 5: Solve for x
   x = 7,552,305,216/39,456
6. Step 6: Final answer
   x = 191,410.82