Finding the Third Proportional to 49,876 and 109,136

Step by Step Solution

1. Step 1: Write the proportion equation
   49,876 : 109,136 = 109,136 : x
2. Step 2: Convert to fraction form
   49,876/109,136 = 109,136/x
3. Step 3: Cross multiply
   49,876x = 109,136 × 109,136
4. Step 4: Simplify right side
   49,876x = 11,910,666,496
5. Step 5: Solve for x
   x = 11,910,666,496/49,876
6. Step 6: Final answer
   x = 238,805.57