Finding the Third Proportional to 102,420 and 158,238

Step by Step Solution

1. Step 1: Write the proportion equation
   102,420 : 158,238 = 158,238 : x
2. Step 2: Convert to fraction form
   102,420/158,238 = 158,238/x
3. Step 3: Cross multiply
   102,420x = 158,238 × 158,238
4. Step 4: Simplify right side
   102,420x = 25,039,264,644
5. Step 5: Solve for x
   x = 25,039,264,644/102,420
6. Step 6: Final answer
   x = 244,476.32