Finding the Third Proportional to 55,940 and 109,040

Step by Step Solution

1. Step 1: Write the proportion equation
   55,940 : 109,040 = 109,040 : x
2. Step 2: Convert to fraction form
   55,940/109,040 = 109,040/x
3. Step 3: Cross multiply
   55,940x = 109,040 × 109,040
4. Step 4: Simplify right side
   55,940x = 11,889,721,600
5. Step 5: Solve for x
   x = 11,889,721,600/55,940
6. Step 6: Final answer
   x = 212,544.18