Finding the Third Proportional to 49,871 and 109,126

Step by Step Solution

1. Step 1: Write the proportion equation
   49,871 : 109,126 = 109,126 : x
2. Step 2: Convert to fraction form
   49,871/109,126 = 109,126/x
3. Step 3: Cross multiply
   49,871x = 109,126 × 109,126
4. Step 4: Simplify right side
   49,871x = 11,908,483,876
5. Step 5: Solve for x
   x = 11,908,483,876/49,871
6. Step 6: Final answer
   x = 238,785.74