Finding the Third Proportional to 146,296 and 314,792

Step by Step Solution

1. Step 1: Write the proportion equation
   146,296 : 314,792 = 314,792 : x
2. Step 2: Convert to fraction form
   146,296/314,792 = 314,792/x
3. Step 3: Cross multiply
   146,296x = 314,792 × 314,792
4. Step 4: Simplify right side
   146,296x = 99,094,003,264
5. Step 5: Solve for x
   x = 99,094,003,264/146,296
6. Step 6: Final answer
   x = 677,352.79