Finding the Third Proportional to 50,584.50 and 110,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,584.50 : 110,281.50 = 110,281.50 : x
2. Step 2: Convert to fraction form
   50,584.50/110,281.50 = 110,281.50/x
3. Step 3: Cross multiply
   50,584.50x = 110,281.50 × 110,281.50
4. Step 4: Simplify right side
   50,584.50x = 12,162,009,242.25
5. Step 5: Solve for x
   x = 12,162,009,242.25/50,584.50
6. Step 6: Final answer
   x = 240,429.56