Finding the Third Proportional to 55,872 and 108,942

Step by Step Solution

1. Step 1: Write the proportion equation
   55,872 : 108,942 = 108,942 : x
2. Step 2: Convert to fraction form
   55,872/108,942 = 108,942/x
3. Step 3: Cross multiply
   55,872x = 108,942 × 108,942
4. Step 4: Simplify right side
   55,872x = 11,868,359,364
5. Step 5: Solve for x
   x = 11,868,359,364/55,872
6. Step 6: Final answer
   x = 212,420.52