Finding the Third Proportional to 89,401 and 189,465

Step by Step Solution

1. Step 1: Write the proportion equation
   89,401 : 189,465 = 189,465 : x
2. Step 2: Convert to fraction form
   89,401/189,465 = 189,465/x
3. Step 3: Cross multiply
   89,401x = 189,465 × 189,465
4. Step 4: Simplify right side
   89,401x = 35,896,986,225
5. Step 5: Solve for x
   x = 35,896,986,225/89,401
6. Step 6: Final answer
   x = 401,527.79