Finding the Third Proportional to 109,688 and 239,200

Step by Step Solution

1. Step 1: Write the proportion equation
   109,688 : 239,200 = 239,200 : x
2. Step 2: Convert to fraction form
   109,688/239,200 = 239,200/x
3. Step 3: Cross multiply
   109,688x = 239,200 × 239,200
4. Step 4: Simplify right side
   109,688x = 57,216,640,000
5. Step 5: Solve for x
   x = 57,216,640,000/109,688
6. Step 6: Final answer
   x = 521,630.81