Finding the Third Proportional to 145,578 and 314,142

Step by Step Solution

1. Step 1: Write the proportion equation
   145,578 : 314,142 = 314,142 : x
2. Step 2: Convert to fraction form
   145,578/314,142 = 314,142/x
3. Step 3: Cross multiply
   145,578x = 314,142 × 314,142
4. Step 4: Simplify right side
   145,578x = 98,685,196,164
5. Step 5: Solve for x
   x = 98,685,196,164/145,578
6. Step 6: Final answer
   x = 677,885.37