Finding the Third Proportional to 86,361 and 188,724

Step by Step Solution

1. Step 1: Write the proportion equation
   86,361 : 188,724 = 188,724 : x
2. Step 2: Convert to fraction form
   86,361/188,724 = 188,724/x
3. Step 3: Cross multiply
   86,361x = 188,724 × 188,724
4. Step 4: Simplify right side
   86,361x = 35,616,748,176
5. Step 5: Solve for x
   x = 35,616,748,176/86,361
6. Step 6: Final answer
   x = 412,417.04