Finding the Third Proportional to 89,082 and 185,534

Step by Step Solution

1. Step 1: Write the proportion equation
   89,082 : 185,534 = 185,534 : x
2. Step 2: Convert to fraction form
   89,082/185,534 = 185,534/x
3. Step 3: Cross multiply
   89,082x = 185,534 × 185,534
4. Step 4: Simplify right side
   89,082x = 34,422,865,156
5. Step 5: Solve for x
   x = 34,422,865,156/89,082
6. Step 6: Final answer
   x = 386,417.74