Finding the Third Proportional to 89,150 and 189,748

Step by Step Solution

1. Step 1: Write the proportion equation
   89,150 : 189,748 = 189,748 : x
2. Step 2: Convert to fraction form
   89,150/189,748 = 189,748/x
3. Step 3: Cross multiply
   89,150x = 189,748 × 189,748
4. Step 4: Simplify right side
   89,150x = 36,004,303,504
5. Step 5: Solve for x
   x = 36,004,303,504/89,150
6. Step 6: Final answer
   x = 403,862.07