Finding the Third Proportional to 83,814 and 113,895

Step by Step Solution

1. Step 1: Write the proportion equation
   83,814 : 113,895 = 113,895 : x
2. Step 2: Convert to fraction form
   83,814/113,895 = 113,895/x
3. Step 3: Cross multiply
   83,814x = 113,895 × 113,895
4. Step 4: Simplify right side
   83,814x = 12,972,071,025
5. Step 5: Solve for x
   x = 12,972,071,025/83,814
6. Step 6: Final answer
   x = 154,772.13