Finding the Third Proportional to 145,674 and 314,748

Step by Step Solution

1. Step 1: Write the proportion equation
   145,674 : 314,748 = 314,748 : x
2. Step 2: Convert to fraction form
   145,674/314,748 = 314,748/x
3. Step 3: Cross multiply
   145,674x = 314,748 × 314,748
4. Step 4: Simplify right side
   145,674x = 99,066,303,504
5. Step 5: Solve for x
   x = 99,066,303,504/145,674
6. Step 6: Final answer
   x = 680,054.80