Finding the Third Proportional to 89,024 and 180,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,024 : 180,496 = 180,496 : x
2. Step 2: Convert to fraction form
   89,024/180,496 = 180,496/x
3. Step 3: Cross multiply
   89,024x = 180,496 × 180,496
4. Step 4: Simplify right side
   89,024x = 32,578,806,016
5. Step 5: Solve for x
   x = 32,578,806,016/89,024
6. Step 6: Final answer
   x = 365,955.32