Finding the Third Proportional to 145,976 and 314,740

Step by Step Solution

1. Step 1: Write the proportion equation
   145,976 : 314,740 = 314,740 : x
2. Step 2: Convert to fraction form
   145,976/314,740 = 314,740/x
3. Step 3: Cross multiply
   145,976x = 314,740 × 314,740
4. Step 4: Simplify right side
   145,976x = 99,061,267,600
5. Step 5: Solve for x
   x = 99,061,267,600/145,976
6. Step 6: Final answer
   x = 678,613.39