Finding the Third Proportional to 90,450 and 189,153

Step by Step Solution

1. Step 1: Write the proportion equation
   90,450 : 189,153 = 189,153 : x
2. Step 2: Convert to fraction form
   90,450/189,153 = 189,153/x
3. Step 3: Cross multiply
   90,450x = 189,153 × 189,153
4. Step 4: Simplify right side
   90,450x = 35,778,857,409
5. Step 5: Solve for x
   x = 35,778,857,409/90,450
6. Step 6: Final answer
   x = 395,565.03