Finding the Third Proportional to 73,524 and 109,996

Step by Step Solution

1. Step 1: Write the proportion equation
   73,524 : 109,996 = 109,996 : x
2. Step 2: Convert to fraction form
   73,524/109,996 = 109,996/x
3. Step 3: Cross multiply
   73,524x = 109,996 × 109,996
4. Step 4: Simplify right side
   73,524x = 12,099,120,016
5. Step 5: Solve for x
   x = 12,099,120,016/73,524
6. Step 6: Final answer
   x = 164,560.14