Finding the Third Proportional to 51,033.50 and 110,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,033.50 : 110,830.50 = 110,830.50 : x
2. Step 2: Convert to fraction form
   51,033.50/110,830.50 = 110,830.50/x
3. Step 3: Cross multiply
   51,033.50x = 110,830.50 × 110,830.50
4. Step 4: Simplify right side
   51,033.50x = 12,283,399,730.25
5. Step 5: Solve for x
   x = 12,283,399,730.25/51,033.50
6. Step 6: Final answer
   x = 240,692.87