Finding the Third Proportional to 83,744 and 113,719

Step by Step Solution

1. Step 1: Write the proportion equation
   83,744 : 113,719 = 113,719 : x
2. Step 2: Convert to fraction form
   83,744/113,719 = 113,719/x
3. Step 3: Cross multiply
   83,744x = 113,719 × 113,719
4. Step 4: Simplify right side
   83,744x = 12,932,010,961
5. Step 5: Solve for x
   x = 12,932,010,961/83,744
6. Step 6: Final answer
   x = 154,423.13