Finding the Third Proportional to 59,201 and 126,826

Step by Step Solution

1. Step 1: Write the proportion equation
   59,201 : 126,826 = 126,826 : x
2. Step 2: Convert to fraction form
   59,201/126,826 = 126,826/x
3. Step 3: Cross multiply
   59,201x = 126,826 × 126,826
4. Step 4: Simplify right side
   59,201x = 16,084,834,276
5. Step 5: Solve for x
   x = 16,084,834,276/59,201
6. Step 6: Final answer
   x = 271,698.69