Finding the Third Proportional to 89,460 and 189,585

Step by Step Solution

1. Step 1: Write the proportion equation
   89,460 : 189,585 = 189,585 : x
2. Step 2: Convert to fraction form
   89,460/189,585 = 189,585/x
3. Step 3: Cross multiply
   89,460x = 189,585 × 189,585
4. Step 4: Simplify right side
   89,460x = 35,942,472,225
5. Step 5: Solve for x
   x = 35,942,472,225/89,460
6. Step 6: Final answer
   x = 401,771.43