Finding the Third Proportional to 55,978 and 118,274

Step by Step Solution

1. Step 1: Write the proportion equation
   55,978 : 118,274 = 118,274 : x
2. Step 2: Convert to fraction form
   55,978/118,274 = 118,274/x
3. Step 3: Cross multiply
   55,978x = 118,274 × 118,274
4. Step 4: Simplify right side
   55,978x = 13,988,739,076
5. Step 5: Solve for x
   x = 13,988,739,076/55,978
6. Step 6: Final answer
   x = 249,897.09