Finding the Third Proportional to 87,747 and 189,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,747 : 189,504.50 = 189,504.50 : x
2. Step 2: Convert to fraction form
   87,747/189,504.50 = 189,504.50/x
3. Step 3: Cross multiply
   87,747x = 189,504.50 × 189,504.50
4. Step 4: Simplify right side
   87,747x = 35,911,955,520.25
5. Step 5: Solve for x
   x = 35,911,955,520.25/87,747
6. Step 6: Final answer
   x = 409,267.05