Finding the Third Proportional to 72,204 and 150,186

Step by Step Solution

1. Step 1: Write the proportion equation
   72,204 : 150,186 = 150,186 : x
2. Step 2: Convert to fraction form
   72,204/150,186 = 150,186/x
3. Step 3: Cross multiply
   72,204x = 150,186 × 150,186
4. Step 4: Simplify right side
   72,204x = 22,555,834,596
5. Step 5: Solve for x
   x = 22,555,834,596/72,204
6. Step 6: Final answer
   x = 312,390.37