Finding the Third Proportional to 72,697 and 148,067

Step by Step Solution

1. Step 1: Write the proportion equation
   72,697 : 148,067 = 148,067 : x
2. Step 2: Convert to fraction form
   72,697/148,067 = 148,067/x
3. Step 3: Cross multiply
   72,697x = 148,067 × 148,067
4. Step 4: Simplify right side
   72,697x = 21,923,836,489
5. Step 5: Solve for x
   x = 21,923,836,489/72,697
6. Step 6: Final answer
   x = 301,578.28