Finding the Third Proportional to 72,759 and 109,408

Step by Step Solution

1. Step 1: Write the proportion equation
   72,759 : 109,408 = 109,408 : x
2. Step 2: Convert to fraction form
   72,759/109,408 = 109,408/x
3. Step 3: Cross multiply
   72,759x = 109,408 × 109,408
4. Step 4: Simplify right side
   72,759x = 11,970,110,464
5. Step 5: Solve for x
   x = 11,970,110,464/72,759
6. Step 6: Final answer
   x = 164,517.25