Finding the Third Proportional to 59,256 and 128,354

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 128,354 = 128,354 : x
2. Step 2: Convert to fraction form
   59,256/128,354 = 128,354/x
3. Step 3: Cross multiply
   59,256x = 128,354 × 128,354
4. Step 4: Simplify right side
   59,256x = 16,474,749,316
5. Step 5: Solve for x
   x = 16,474,749,316/59,256
6. Step 6: Final answer
   x = 278,026.69