Finding the Third Proportional to 40,224 and 108,510

Step by Step Solution

1. Step 1: Write the proportion equation
   40,224 : 108,510 = 108,510 : x
2. Step 2: Convert to fraction form
   40,224/108,510 = 108,510/x
3. Step 3: Cross multiply
   40,224x = 108,510 × 108,510
4. Step 4: Simplify right side
   40,224x = 11,774,420,100
5. Step 5: Solve for x
   x = 11,774,420,100/40,224
6. Step 6: Final answer
   x = 292,721.26