Finding the Third Proportional to 146,310 and 314,816

Step by Step Solution

1. Step 1: Write the proportion equation
   146,310 : 314,816 = 314,816 : x
2. Step 2: Convert to fraction form
   146,310/314,816 = 314,816/x
3. Step 3: Cross multiply
   146,310x = 314,816 × 314,816
4. Step 4: Simplify right side
   146,310x = 99,109,113,856
5. Step 5: Solve for x
   x = 99,109,113,856/146,310
6. Step 6: Final answer
   x = 677,391.25