Finding the Third Proportional to 83,072 and 180,166

Step by Step Solution

1. Step 1: Write the proportion equation
   83,072 : 180,166 = 180,166 : x
2. Step 2: Convert to fraction form
   83,072/180,166 = 180,166/x
3. Step 3: Cross multiply
   83,072x = 180,166 × 180,166
4. Step 4: Simplify right side
   83,072x = 32,459,787,556
5. Step 5: Solve for x
   x = 32,459,787,556/83,072
6. Step 6: Final answer
   x = 390,742.82