Finding the Third Proportional to 52,093.50 and 111,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,093.50 : 111,718.50 = 111,718.50 : x
2. Step 2: Convert to fraction form
   52,093.50/111,718.50 = 111,718.50/x
3. Step 3: Cross multiply
   52,093.50x = 111,718.50 × 111,718.50
4. Step 4: Simplify right side
   52,093.50x = 12,481,023,242.25
5. Step 5: Solve for x
   x = 12,481,023,242.25/52,093.50
6. Step 6: Final answer
   x = 239,588.88