Finding the Third Proportional to 55,938 and 109,042

Step by Step Solution

1. Step 1: Write the proportion equation
   55,938 : 109,042 = 109,042 : x
2. Step 2: Convert to fraction form
   55,938/109,042 = 109,042/x
3. Step 3: Cross multiply
   55,938x = 109,042 × 109,042
4. Step 4: Simplify right side
   55,938x = 11,890,157,764
5. Step 5: Solve for x
   x = 11,890,157,764/55,938
6. Step 6: Final answer
   x = 212,559.58