Finding the Third Proportional to 72,978 and 109,997

Step by Step Solution

1. Step 1: Write the proportion equation
   72,978 : 109,997 = 109,997 : x
2. Step 2: Convert to fraction form
   72,978/109,997 = 109,997/x
3. Step 3: Cross multiply
   72,978x = 109,997 × 109,997
4. Step 4: Simplify right side
   72,978x = 12,099,340,009
5. Step 5: Solve for x
   x = 12,099,340,009/72,978
6. Step 6: Final answer
   x = 165,794.35