Finding the Third Proportional to 59,205 and 126,854

Step by Step Solution

1. Step 1: Write the proportion equation
   59,205 : 126,854 = 126,854 : x
2. Step 2: Convert to fraction form
   59,205/126,854 = 126,854/x
3. Step 3: Cross multiply
   59,205x = 126,854 × 126,854
4. Step 4: Simplify right side
   59,205x = 16,091,937,316
5. Step 5: Solve for x
   x = 16,091,937,316/59,205
6. Step 6: Final answer
   x = 271,800.31