Finding the Third Proportional to 100,180 and 150,018

Step by Step Solution

1. Step 1: Write the proportion equation
   100,180 : 150,018 = 150,018 : x
2. Step 2: Convert to fraction form
   100,180/150,018 = 150,018/x
3. Step 3: Cross multiply
   100,180x = 150,018 × 150,018
4. Step 4: Simplify right side
   100,180x = 22,505,400,324
5. Step 5: Solve for x
   x = 22,505,400,324/100,180
6. Step 6: Final answer
   x = 224,649.63