Finding the Third Proportional to 87,665 and 191,734

Step by Step Solution

1. Step 1: Write the proportion equation
   87,665 : 191,734 = 191,734 : x
2. Step 2: Convert to fraction form
   87,665/191,734 = 191,734/x
3. Step 3: Cross multiply
   87,665x = 191,734 × 191,734
4. Step 4: Simplify right side
   87,665x = 36,761,926,756
5. Step 5: Solve for x
   x = 36,761,926,756/87,665
6. Step 6: Final answer
   x = 419,345.54