Finding the Third Proportional to 384,300 and 613,924

Step by Step Solution

1. Step 1: Write the proportion equation
   384,300 : 613,924 = 613,924 : x
2. Step 2: Convert to fraction form
   384,300/613,924 = 613,924/x
3. Step 3: Cross multiply
   384,300x = 613,924 × 613,924
4. Step 4: Simplify right side
   384,300x = 376,902,677,776
5. Step 5: Solve for x
   x = 376,902,677,776/384,300
6. Step 6: Final answer
   x = 980,751.18