Finding the Third Proportional to 59,196 and 128,240

Step by Step Solution

1. Step 1: Write the proportion equation
   59,196 : 128,240 = 128,240 : x
2. Step 2: Convert to fraction form
   59,196/128,240 = 128,240/x
3. Step 3: Cross multiply
   59,196x = 128,240 × 128,240
4. Step 4: Simplify right side
   59,196x = 16,445,497,600
5. Step 5: Solve for x
   x = 16,445,497,600/59,196
6. Step 6: Final answer
   x = 277,814.34