Finding the Third Proportional to 83,731 and 113,701

Step by Step Solution

1. Step 1: Write the proportion equation
   83,731 : 113,701 = 113,701 : x
2. Step 2: Convert to fraction form
   83,731/113,701 = 113,701/x
3. Step 3: Cross multiply
   83,731x = 113,701 × 113,701
4. Step 4: Simplify right side
   83,731x = 12,927,917,401
5. Step 5: Solve for x
   x = 12,927,917,401/83,731
6. Step 6: Final answer
   x = 154,398.22