Finding the Third Proportional to 145,314 and 311,364

Step by Step Solution

1. Step 1: Write the proportion equation
   145,314 : 311,364 = 311,364 : x
2. Step 2: Convert to fraction form
   145,314/311,364 = 311,364/x
3. Step 3: Cross multiply
   145,314x = 311,364 × 311,364
4. Step 4: Simplify right side
   145,314x = 96,947,540,496
5. Step 5: Solve for x
   x = 96,947,540,496/145,314
6. Step 6: Final answer
   x = 667,158.98