Finding the Third Proportional to 108,424 and 205,792

Step by Step Solution

1. Step 1: Write the proportion equation
   108,424 : 205,792 = 205,792 : x
2. Step 2: Convert to fraction form
   108,424/205,792 = 205,792/x
3. Step 3: Cross multiply
   108,424x = 205,792 × 205,792
4. Step 4: Simplify right side
   108,424x = 42,350,347,264
5. Step 5: Solve for x
   x = 42,350,347,264/108,424
6. Step 6: Final answer
   x = 390,599.38