Finding the Third Proportional to 145,256 and 314,638

Step by Step Solution

1. Step 1: Write the proportion equation
   145,256 : 314,638 = 314,638 : x
2. Step 2: Convert to fraction form
   145,256/314,638 = 314,638/x
3. Step 3: Cross multiply
   145,256x = 314,638 × 314,638
4. Step 4: Simplify right side
   145,256x = 98,997,071,044
5. Step 5: Solve for x
   x = 98,997,071,044/145,256
6. Step 6: Final answer
   x = 681,535.16