Finding the Third Proportional to 89,028 and 180,504

Step by Step Solution

1. Step 1: Write the proportion equation
   89,028 : 180,504 = 180,504 : x
2. Step 2: Convert to fraction form
   89,028/180,504 = 180,504/x
3. Step 3: Cross multiply
   89,028x = 180,504 × 180,504
4. Step 4: Simplify right side
   89,028x = 32,581,694,016
5. Step 5: Solve for x
   x = 32,581,694,016/89,028
6. Step 6: Final answer
   x = 365,971.31