Finding the Third Proportional to 83,227 and 117,764

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227 : 117,764 = 117,764 : x
2. Step 2: Convert to fraction form
   83,227/117,764 = 117,764/x
3. Step 3: Cross multiply
   83,227x = 117,764 × 117,764
4. Step 4: Simplify right side
   83,227x = 13,868,359,696
5. Step 5: Solve for x
   x = 13,868,359,696/83,227
6. Step 6: Final answer
   x = 166,632.94