Finding the Third Proportional to 49,086 and 106,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,086 : 106,861.50 = 106,861.50 : x
2. Step 2: Convert to fraction form
   49,086/106,861.50 = 106,861.50/x
3. Step 3: Cross multiply
   49,086x = 106,861.50 × 106,861.50
4. Step 4: Simplify right side
   49,086x = 11,419,380,182.25
5. Step 5: Solve for x
   x = 11,419,380,182.25/49,086
6. Step 6: Final answer
   x = 232,640.27