Finding the Third Proportional to 109,200 and 238,764

Step by Step Solution

1. Step 1: Write the proportion equation
   109,200 : 238,764 = 238,764 : x
2. Step 2: Convert to fraction form
   109,200/238,764 = 238,764/x
3. Step 3: Cross multiply
   109,200x = 238,764 × 238,764
4. Step 4: Simplify right side
   109,200x = 57,008,247,696
5. Step 5: Solve for x
   x = 57,008,247,696/109,200
6. Step 6: Final answer
   x = 522,053.55