Finding the Third Proportional to 83,852 and 113,938

Step by Step Solution

1. Step 1: Write the proportion equation
   83,852 : 113,938 = 113,938 : x
2. Step 2: Convert to fraction form
   83,852/113,938 = 113,938/x
3. Step 3: Cross multiply
   83,852x = 113,938 × 113,938
4. Step 4: Simplify right side
   83,852x = 12,981,867,844
5. Step 5: Solve for x
   x = 12,981,867,844/83,852
6. Step 6: Final answer
   x = 154,818.82