Finding the Third Proportional to 74,978 and 156,836

Step by Step Solution

1. Step 1: Write the proportion equation
   74,978 : 156,836 = 156,836 : x
2. Step 2: Convert to fraction form
   74,978/156,836 = 156,836/x
3. Step 3: Cross multiply
   74,978x = 156,836 × 156,836
4. Step 4: Simplify right side
   74,978x = 24,597,530,896
5. Step 5: Solve for x
   x = 24,597,530,896/74,978
6. Step 6: Final answer
   x = 328,063.31