Finding the Third Proportional to 59,538.25 and 128,424

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538.25 : 128,424 = 128,424 : x
2. Step 2: Convert to fraction form
   59,538.25/128,424 = 128,424/x
3. Step 3: Cross multiply
   59,538.25x = 128,424 × 128,424
4. Step 4: Simplify right side
   59,538.25x = 16,492,723,776
5. Step 5: Solve for x
   x = 16,492,723,776/59,538.25
6. Step 6: Final answer
   x = 277,010.56