Finding the Third Proportional to 52,177.50 and 111,726

Step by Step Solution

1. Step 1: Write the proportion equation
   52,177.50 : 111,726 = 111,726 : x
2. Step 2: Convert to fraction form
   52,177.50/111,726 = 111,726/x
3. Step 3: Cross multiply
   52,177.50x = 111,726 × 111,726
4. Step 4: Simplify right side
   52,177.50x = 12,482,699,076
5. Step 5: Solve for x
   x = 12,482,699,076/52,177.50
6. Step 6: Final answer
   x = 239,235.28