Finding the Third Proportional to 102,424 and 158,540

Step by Step Solution

1. Step 1: Write the proportion equation
   102,424 : 158,540 = 158,540 : x
2. Step 2: Convert to fraction form
   102,424/158,540 = 158,540/x
3. Step 3: Cross multiply
   102,424x = 158,540 × 158,540
4. Step 4: Simplify right side
   102,424x = 25,134,931,600
5. Step 5: Solve for x
   x = 25,134,931,600/102,424
6. Step 6: Final answer
   x = 245,400.80