Finding the Third Proportional to 49,538 and 109,764

Step by Step Solution

1. Step 1: Write the proportion equation
   49,538 : 109,764 = 109,764 : x
2. Step 2: Convert to fraction form
   49,538/109,764 = 109,764/x
3. Step 3: Cross multiply
   49,538x = 109,764 × 109,764
4. Step 4: Simplify right side
   49,538x = 12,048,135,696
5. Step 5: Solve for x
   x = 12,048,135,696/49,538
6. Step 6: Final answer
   x = 243,209.97