Finding the Third Proportional to 87,536 and 186,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,536 : 186,735.50 = 186,735.50 : x
2. Step 2: Convert to fraction form
   87,536/186,735.50 = 186,735.50/x
3. Step 3: Cross multiply
   87,536x = 186,735.50 × 186,735.50
4. Step 4: Simplify right side
   87,536x = 34,870,146,960.25
5. Step 5: Solve for x
   x = 34,870,146,960.25/87,536
6. Step 6: Final answer
   x = 398,352.07