Finding the Third Proportional to 52,509 and 111,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,509 : 111,493.50 = 111,493.50 : x
2. Step 2: Convert to fraction form
   52,509/111,493.50 = 111,493.50/x
3. Step 3: Cross multiply
   52,509x = 111,493.50 × 111,493.50
4. Step 4: Simplify right side
   52,509x = 12,430,800,542.25
5. Step 5: Solve for x
   x = 12,430,800,542.25/52,509
6. Step 6: Final answer
   x = 236,736.57