Finding the Third Proportional to 89,458 and 189,261

Step by Step Solution

1. Step 1: Write the proportion equation
   89,458 : 189,261 = 189,261 : x
2. Step 2: Convert to fraction form
   89,458/189,261 = 189,261/x
3. Step 3: Cross multiply
   89,458x = 189,261 × 189,261
4. Step 4: Simplify right side
   89,458x = 35,819,726,121
5. Step 5: Solve for x
   x = 35,819,726,121/89,458
6. Step 6: Final answer
   x = 400,408.30