Finding the Third Proportional to 89,478 and 189,603

Step by Step Solution

1. Step 1: Write the proportion equation
   89,478 : 189,603 = 189,603 : x
2. Step 2: Convert to fraction form
   89,478/189,603 = 189,603/x
3. Step 3: Cross multiply
   89,478x = 189,603 × 189,603
4. Step 4: Simplify right side
   89,478x = 35,949,297,609
5. Step 5: Solve for x
   x = 35,949,297,609/89,478
6. Step 6: Final answer
   x = 401,766.89