Finding the Third Proportional to 238,040 and 338,412

Step by Step Solution

1. Step 1: Write the proportion equation
   238,040 : 338,412 = 338,412 : x
2. Step 2: Convert to fraction form
   238,040/338,412 = 338,412/x
3. Step 3: Cross multiply
   238,040x = 338,412 × 338,412
4. Step 4: Simplify right side
   238,040x = 114,522,681,744
5. Step 5: Solve for x
   x = 114,522,681,744/238,040
6. Step 6: Final answer
   x = 481,106.88