Finding the Third Proportional to 55,978 and 115,240

Step by Step Solution

1. Step 1: Write the proportion equation
   55,978 : 115,240 = 115,240 : x
2. Step 2: Convert to fraction form
   55,978/115,240 = 115,240/x
3. Step 3: Cross multiply
   55,978x = 115,240 × 115,240
4. Step 4: Simplify right side
   55,978x = 13,280,257,600
5. Step 5: Solve for x
   x = 13,280,257,600/55,978
6. Step 6: Final answer
   x = 237,240.66