Finding the Third Proportional to 145,991 and 314,770

Step by Step Solution

1. Step 1: Write the proportion equation
   145,991 : 314,770 = 314,770 : x
2. Step 2: Convert to fraction form
   145,991/314,770 = 314,770/x
3. Step 3: Cross multiply
   145,991x = 314,770 × 314,770
4. Step 4: Simplify right side
   145,991x = 99,080,152,900
5. Step 5: Solve for x
   x = 99,080,152,900/145,991
6. Step 6: Final answer
   x = 678,673.02