Finding the Third Proportional to 49,909 and 109,071

Step by Step Solution

1. Step 1: Write the proportion equation
   49,909 : 109,071 = 109,071 : x
2. Step 2: Convert to fraction form
   49,909/109,071 = 109,071/x
3. Step 3: Cross multiply
   49,909x = 109,071 × 109,071
4. Step 4: Simplify right side
   49,909x = 11,896,483,041
5. Step 5: Solve for x
   x = 11,896,483,041/49,909
6. Step 6: Final answer
   x = 238,363.48