Finding the Third Proportional to 50,538 and 84,222

Step by Step Solution

1. Step 1: Write the proportion equation
   50,538 : 84,222 = 84,222 : x
2. Step 2: Convert to fraction form
   50,538/84,222 = 84,222/x
3. Step 3: Cross multiply
   50,538x = 84,222 × 84,222
4. Step 4: Simplify right side
   50,538x = 7,093,345,284
5. Step 5: Solve for x
   x = 7,093,345,284/50,538
6. Step 6: Final answer
   x = 140,356.67