Finding the Third Proportional to 146,304 and 314,433

Step by Step Solution

1. Step 1: Write the proportion equation
   146,304 : 314,433 = 314,433 : x
2. Step 2: Convert to fraction form
   146,304/314,433 = 314,433/x
3. Step 3: Cross multiply
   146,304x = 314,433 × 314,433
4. Step 4: Simplify right side
   146,304x = 98,868,111,489
5. Step 5: Solve for x
   x = 98,868,111,489/146,304
6. Step 6: Final answer
   x = 675,771.76