Finding the Third Proportional to 89,082 and 185,535

Step by Step Solution

1. Step 1: Write the proportion equation
   89,082 : 185,535 = 185,535 : x
2. Step 2: Convert to fraction form
   89,082/185,535 = 185,535/x
3. Step 3: Cross multiply
   89,082x = 185,535 × 185,535
4. Step 4: Simplify right side
   89,082x = 34,423,236,225
5. Step 5: Solve for x
   x = 34,423,236,225/89,082
6. Step 6: Final answer
   x = 386,421.91