Finding the Third Proportional to 100,204 and 150,030

Step by Step Solution

1. Step 1: Write the proportion equation
   100,204 : 150,030 = 150,030 : x
2. Step 2: Convert to fraction form
   100,204/150,030 = 150,030/x
3. Step 3: Cross multiply
   100,204x = 150,030 × 150,030
4. Step 4: Simplify right side
   100,204x = 22,509,000,900
5. Step 5: Solve for x
   x = 22,509,000,900/100,204
6. Step 6: Final answer
   x = 224,631.76