Finding the Third Proportional to 59,200 and 127,184

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200 : 127,184 = 127,184 : x
2. Step 2: Convert to fraction form
   59,200/127,184 = 127,184/x
3. Step 3: Cross multiply
   59,200x = 127,184 × 127,184
4. Step 4: Simplify right side
   59,200x = 16,175,769,856
5. Step 5: Solve for x
   x = 16,175,769,856/59,200
6. Step 6: Final answer
   x = 273,239.36