Finding the Third Proportional to 51,819 and 110,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,819 : 110,747.50 = 110,747.50 : x
2. Step 2: Convert to fraction form
   51,819/110,747.50 = 110,747.50/x
3. Step 3: Cross multiply
   51,819x = 110,747.50 × 110,747.50
4. Step 4: Simplify right side
   51,819x = 12,265,008,756.25
5. Step 5: Solve for x
   x = 12,265,008,756.25/51,819
6. Step 6: Final answer
   x = 236,689.41