Finding the Third Proportional to 83,736 and 113,708.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,736 : 113,708.25 = 113,708.25 : x
2. Step 2: Convert to fraction form
   83,736/113,708.25 = 113,708.25/x
3. Step 3: Cross multiply
   83,736x = 113,708.25 × 113,708.25
4. Step 4: Simplify right side
   83,736x = 12,929,566,118.06
5. Step 5: Solve for x
   x = 12,929,566,118.06/83,736
6. Step 6: Final answer
   x = 154,408.69