Finding the Third Proportional to 83,162 and 127,818

Step by Step Solution

1. Step 1: Write the proportion equation
   83,162 : 127,818 = 127,818 : x
2. Step 2: Convert to fraction form
   83,162/127,818 = 127,818/x
3. Step 3: Cross multiply
   83,162x = 127,818 × 127,818
4. Step 4: Simplify right side
   83,162x = 16,337,441,124
5. Step 5: Solve for x
   x = 16,337,441,124/83,162
6. Step 6: Final answer
   x = 196,453.20