Finding the Third Proportional to 83,812 and 113,891

Step by Step Solution

1. Step 1: Write the proportion equation
   83,812 : 113,891 = 113,891 : x
2. Step 2: Convert to fraction form
   83,812/113,891 = 113,891/x
3. Step 3: Cross multiply
   83,812x = 113,891 × 113,891
4. Step 4: Simplify right side
   83,812x = 12,971,159,881
5. Step 5: Solve for x
   x = 12,971,159,881/83,812
6. Step 6: Final answer
   x = 154,764.95