Finding the Third Proportional to 146,134 and 314,104

Step by Step Solution

1. Step 1: Write the proportion equation
   146,134 : 314,104 = 314,104 : x
2. Step 2: Convert to fraction form
   146,134/314,104 = 314,104/x
3. Step 3: Cross multiply
   146,134x = 314,104 × 314,104
4. Step 4: Simplify right side
   146,134x = 98,661,322,816
5. Step 5: Solve for x
   x = 98,661,322,816/146,134
6. Step 6: Final answer
   x = 675,142.83