Finding the Third Proportional to 87,638 and 191,858

Step by Step Solution

1. Step 1: Write the proportion equation
   87,638 : 191,858 = 191,858 : x
2. Step 2: Convert to fraction form
   87,638/191,858 = 191,858/x
3. Step 3: Cross multiply
   87,638x = 191,858 × 191,858
4. Step 4: Simplify right side
   87,638x = 36,809,492,164
5. Step 5: Solve for x
   x = 36,809,492,164/87,638
6. Step 6: Final answer
   x = 420,017.48