Finding the Third Proportional to 59,256 and 139,876

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 139,876 = 139,876 : x
2. Step 2: Convert to fraction form
   59,256/139,876 = 139,876/x
3. Step 3: Cross multiply
   59,256x = 139,876 × 139,876
4. Step 4: Simplify right side
   59,256x = 19,565,295,376
5. Step 5: Solve for x
   x = 19,565,295,376/59,256
6. Step 6: Final answer
   x = 330,182.52