Finding the Third Proportional to 51,756 and 110,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,756 : 110,889.50 = 110,889.50 : x
2. Step 2: Convert to fraction form
   51,756/110,889.50 = 110,889.50/x
3. Step 3: Cross multiply
   51,756x = 110,889.50 × 110,889.50
4. Step 4: Simplify right side
   51,756x = 12,296,481,210.25
5. Step 5: Solve for x
   x = 12,296,481,210.25/51,756
6. Step 6: Final answer
   x = 237,585.62