Finding the Third Proportional to 238,048 and 315,924

Step by Step Solution

1. Step 1: Write the proportion equation
   238,048 : 315,924 = 315,924 : x
2. Step 2: Convert to fraction form
   238,048/315,924 = 315,924/x
3. Step 3: Cross multiply
   238,048x = 315,924 × 315,924
4. Step 4: Simplify right side
   238,048x = 99,807,973,776
5. Step 5: Solve for x
   x = 99,807,973,776/238,048
6. Step 6: Final answer
   x = 419,276.67