Finding the Third Proportional to 63,978 and 137,208

Step by Step Solution

1. Step 1: Write the proportion equation
   63,978 : 137,208 = 137,208 : x
2. Step 2: Convert to fraction form
   63,978/137,208 = 137,208/x
3. Step 3: Cross multiply
   63,978x = 137,208 × 137,208
4. Step 4: Simplify right side
   63,978x = 18,826,035,264
5. Step 5: Solve for x
   x = 18,826,035,264/63,978
6. Step 6: Final answer
   x = 294,257.95