Finding the Third Proportional to 83,840 and 180,162

Step by Step Solution

1. Step 1: Write the proportion equation
   83,840 : 180,162 = 180,162 : x
2. Step 2: Convert to fraction form
   83,840/180,162 = 180,162/x
3. Step 3: Cross multiply
   83,840x = 180,162 × 180,162
4. Step 4: Simplify right side
   83,840x = 32,458,346,244
5. Step 5: Solve for x
   x = 32,458,346,244/83,840
6. Step 6: Final answer
   x = 387,146.31