Finding the Third Proportional to 59,262 and 128,361

Step by Step Solution

1. Step 1: Write the proportion equation
   59,262 : 128,361 = 128,361 : x
2. Step 2: Convert to fraction form
   59,262/128,361 = 128,361/x
3. Step 3: Cross multiply
   59,262x = 128,361 × 128,361
4. Step 4: Simplify right side
   59,262x = 16,476,546,321
5. Step 5: Solve for x
   x = 16,476,546,321/59,262
6. Step 6: Final answer
   x = 278,028.86