Finding the Third Proportional to 150,049 and 231,314

Step by Step Solution

1. Step 1: Write the proportion equation
   150,049 : 231,314 = 231,314 : x
2. Step 2: Convert to fraction form
   150,049/231,314 = 231,314/x
3. Step 3: Cross multiply
   150,049x = 231,314 × 231,314
4. Step 4: Simplify right side
   150,049x = 53,506,166,596
5. Step 5: Solve for x
   x = 53,506,166,596/150,049
6. Step 6: Final answer
   x = 356,591.29