Finding the Third Proportional to 59,734 and 128,322

Step by Step Solution

1. Step 1: Write the proportion equation
   59,734 : 128,322 = 128,322 : x
2. Step 2: Convert to fraction form
   59,734/128,322 = 128,322/x
3. Step 3: Cross multiply
   59,734x = 128,322 × 128,322
4. Step 4: Simplify right side
   59,734x = 16,466,535,684
5. Step 5: Solve for x
   x = 16,466,535,684/59,734
6. Step 6: Final answer
   x = 275,664.37