Finding the Third Proportional to 59,218 and 126,876

Step by Step Solution

1. Step 1: Write the proportion equation
   59,218 : 126,876 = 126,876 : x
2. Step 2: Convert to fraction form
   59,218/126,876 = 126,876/x
3. Step 3: Cross multiply
   59,218x = 126,876 × 126,876
4. Step 4: Simplify right side
   59,218x = 16,097,519,376
5. Step 5: Solve for x
   x = 16,097,519,376/59,218
6. Step 6: Final answer
   x = 271,834.90