Finding the Third Proportional to 83,864 and 113,956

Step by Step Solution

1. Step 1: Write the proportion equation
   83,864 : 113,956 = 113,956 : x
2. Step 2: Convert to fraction form
   83,864/113,956 = 113,956/x
3. Step 3: Cross multiply
   83,864x = 113,956 × 113,956
4. Step 4: Simplify right side
   83,864x = 12,985,969,936
5. Step 5: Solve for x
   x = 12,985,969,936/83,864
6. Step 6: Final answer
   x = 154,845.58