Finding the Third Proportional to 109,880 and 236,320

Step by Step Solution

1. Step 1: Write the proportion equation
   109,880 : 236,320 = 236,320 : x
2. Step 2: Convert to fraction form
   109,880/236,320 = 236,320/x
3. Step 3: Cross multiply
   109,880x = 236,320 × 236,320
4. Step 4: Simplify right side
   109,880x = 55,847,142,400
5. Step 5: Solve for x
   x = 55,847,142,400/109,880
6. Step 6: Final answer
   x = 508,255.76