Finding the Third Proportional to 401.06 and 878.72

Step by Step Solution

1. Step 1: Write the proportion equation
   401.06 : 878.72 = 878.72 : x
2. Step 2: Convert to fraction form
   401.06/878.72 = 878.72/x
3. Step 3: Cross multiply
   401.06x = 878.72 × 878.72
4. Step 4: Simplify right side
   401.06x = 772,146.64
5. Step 5: Solve for x
   x = 772,146.64/401.06
6. Step 6: Final answer
   x = 1,925.25