Finding the Third Proportional to 56,538 and 111,648.38

Step by Step Solution

1. Step 1: Write the proportion equation
   56,538 : 111,648.38 = 111,648.38 : x
2. Step 2: Convert to fraction form
   56,538/111,648.38 = 111,648.38/x
3. Step 3: Cross multiply
   56,538x = 111,648.38 × 111,648.38
4. Step 4: Simplify right side
   56,538x = 12,465,359,640.14
5. Step 5: Solve for x
   x = 12,465,359,640.14/56,538
6. Step 6: Final answer
   x = 220,477.55