Finding the Third Proportional to 143,020 and 314,048

Step by Step Solution

1. Step 1: Write the proportion equation
   143,020 : 314,048 = 314,048 : x
2. Step 2: Convert to fraction form
   143,020/314,048 = 314,048/x
3. Step 3: Cross multiply
   143,020x = 314,048 × 314,048
4. Step 4: Simplify right side
   143,020x = 98,626,146,304
5. Step 5: Solve for x
   x = 98,626,146,304/143,020
6. Step 6: Final answer
   x = 689,596.88