Finding the Third Proportional to 146,298 and 314,796

Step by Step Solution

1. Step 1: Write the proportion equation
   146,298 : 314,796 = 314,796 : x
2. Step 2: Convert to fraction form
   146,298/314,796 = 314,796/x
3. Step 3: Cross multiply
   146,298x = 314,796 × 314,796
4. Step 4: Simplify right side
   146,298x = 99,096,521,616
5. Step 5: Solve for x
   x = 99,096,521,616/146,298
6. Step 6: Final answer
   x = 677,360.74