Finding the Third Proportional to 86,161 and 186,162

Step by Step Solution

1. Step 1: Write the proportion equation
   86,161 : 186,162 = 186,162 : x
2. Step 2: Convert to fraction form
   86,161/186,162 = 186,162/x
3. Step 3: Cross multiply
   86,161x = 186,162 × 186,162
4. Step 4: Simplify right side
   86,161x = 34,656,290,244
5. Step 5: Solve for x
   x = 34,656,290,244/86,161
6. Step 6: Final answer
   x = 402,227.11