Finding the Third Proportional to 87,666 and 188,472

Step by Step Solution

1. Step 1: Write the proportion equation
   87,666 : 188,472 = 188,472 : x
2. Step 2: Convert to fraction form
   87,666/188,472 = 188,472/x
3. Step 3: Cross multiply
   87,666x = 188,472 × 188,472
4. Step 4: Simplify right side
   87,666x = 35,521,694,784
5. Step 5: Solve for x
   x = 35,521,694,784/87,666
6. Step 6: Final answer
   x = 405,193.52