Finding the Third Proportional to 51,952.50 and 111,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,952.50 : 111,012.50 = 111,012.50 : x
2. Step 2: Convert to fraction form
   51,952.50/111,012.50 = 111,012.50/x
3. Step 3: Cross multiply
   51,952.50x = 111,012.50 × 111,012.50
4. Step 4: Simplify right side
   51,952.50x = 12,323,775,156.25
5. Step 5: Solve for x
   x = 12,323,775,156.25/51,952.50
6. Step 6: Final answer
   x = 237,212.36