Finding the Third Proportional to 109,300 and 235,824

Step by Step Solution

1. Step 1: Write the proportion equation
   109,300 : 235,824 = 235,824 : x
2. Step 2: Convert to fraction form
   109,300/235,824 = 235,824/x
3. Step 3: Cross multiply
   109,300x = 235,824 × 235,824
4. Step 4: Simplify right side
   109,300x = 55,612,958,976
5. Step 5: Solve for x
   x = 55,612,958,976/109,300
6. Step 6: Final answer
   x = 508,810.24