Finding the Third Proportional to 59,186 and 127,156

Step by Step Solution

1. Step 1: Write the proportion equation
   59,186 : 127,156 = 127,156 : x
2. Step 2: Convert to fraction form
   59,186/127,156 = 127,156/x
3. Step 3: Cross multiply
   59,186x = 127,156 × 127,156
4. Step 4: Simplify right side
   59,186x = 16,168,648,336
5. Step 5: Solve for x
   x = 16,168,648,336/59,186
6. Step 6: Final answer
   x = 273,183.66