Finding the Third Proportional to 41,766 and 87,904

Step by Step Solution

1. Step 1: Write the proportion equation
   41,766 : 87,904 = 87,904 : x
2. Step 2: Convert to fraction form
   41,766/87,904 = 87,904/x
3. Step 3: Cross multiply
   41,766x = 87,904 × 87,904
4. Step 4: Simplify right side
   41,766x = 7,727,113,216
5. Step 5: Solve for x
   x = 7,727,113,216/41,766
6. Step 6: Final answer
   x = 185,009.65