Finding the Third Proportional to 83,864 and 113,961

Step by Step Solution

1. Step 1: Write the proportion equation
   83,864 : 113,961 = 113,961 : x
2. Step 2: Convert to fraction form
   83,864/113,961 = 113,961/x
3. Step 3: Cross multiply
   83,864x = 113,961 × 113,961
4. Step 4: Simplify right side
   83,864x = 12,987,109,521
5. Step 5: Solve for x
   x = 12,987,109,521/83,864
6. Step 6: Final answer
   x = 154,859.17