Finding the Third Proportional to 72,588 and 114,067

Step by Step Solution

1. Step 1: Write the proportion equation
   72,588 : 114,067 = 114,067 : x
2. Step 2: Convert to fraction form
   72,588/114,067 = 114,067/x
3. Step 3: Cross multiply
   72,588x = 114,067 × 114,067
4. Step 4: Simplify right side
   72,588x = 13,011,280,489
5. Step 5: Solve for x
   x = 13,011,280,489/72,588
6. Step 6: Final answer
   x = 179,248.37