Finding the Third Proportional to 86,105 and 186,043

Step by Step Solution

1. Step 1: Write the proportion equation
   86,105 : 186,043 = 186,043 : x
2. Step 2: Convert to fraction form
   86,105/186,043 = 186,043/x
3. Step 3: Cross multiply
   86,105x = 186,043 × 186,043
4. Step 4: Simplify right side
   86,105x = 34,611,997,849
5. Step 5: Solve for x
   x = 34,611,997,849/86,105
6. Step 6: Final answer
   x = 401,974.31