Finding the Third Proportional to 146,368 and 314,928

Step by Step Solution

1. Step 1: Write the proportion equation
   146,368 : 314,928 = 314,928 : x
2. Step 2: Convert to fraction form
   146,368/314,928 = 314,928/x
3. Step 3: Cross multiply
   146,368x = 314,928 × 314,928
4. Step 4: Simplify right side
   146,368x = 99,179,645,184
5. Step 5: Solve for x
   x = 99,179,645,184/146,368
6. Step 6: Final answer
   x = 677,604.70