Finding the Third Proportional to 145,830 and 314,422

Step by Step Solution

1. Step 1: Write the proportion equation
   145,830 : 314,422 = 314,422 : x
2. Step 2: Convert to fraction form
   145,830/314,422 = 314,422/x
3. Step 3: Cross multiply
   145,830x = 314,422 × 314,422
4. Step 4: Simplify right side
   145,830x = 98,861,194,084
5. Step 5: Solve for x
   x = 98,861,194,084/145,830
6. Step 6: Final answer
   x = 677,920.83