Finding the Third Proportional to 109,548 and 238,824

Step by Step Solution

1. Step 1: Write the proportion equation
   109,548 : 238,824 = 238,824 : x
2. Step 2: Convert to fraction form
   109,548/238,824 = 238,824/x
3. Step 3: Cross multiply
   109,548x = 238,824 × 238,824
4. Step 4: Simplify right side
   109,548x = 57,036,902,976
5. Step 5: Solve for x
   x = 57,036,902,976/109,548
6. Step 6: Final answer
   x = 520,656.73