Finding the Third Proportional to 72,978 and 155,374

Step by Step Solution

1. Step 1: Write the proportion equation
   72,978 : 155,374 = 155,374 : x
2. Step 2: Convert to fraction form
   72,978/155,374 = 155,374/x
3. Step 3: Cross multiply
   72,978x = 155,374 × 155,374
4. Step 4: Simplify right side
   72,978x = 24,141,079,876
5. Step 5: Solve for x
   x = 24,141,079,876/72,978
6. Step 6: Final answer
   x = 330,799.42