Finding the Third Proportional to 104,924 and 158,384

Step by Step Solution

1. Step 1: Write the proportion equation
   104,924 : 158,384 = 158,384 : x
2. Step 2: Convert to fraction form
   104,924/158,384 = 158,384/x
3. Step 3: Cross multiply
   104,924x = 158,384 × 158,384
4. Step 4: Simplify right side
   104,924x = 25,085,491,456
5. Step 5: Solve for x
   x = 25,085,491,456/104,924
6. Step 6: Final answer
   x = 239,082.49