Finding the Third Proportional to 102,452 and 158,222

Step by Step Solution

1. Step 1: Write the proportion equation
   102,452 : 158,222 = 158,222 : x
2. Step 2: Convert to fraction form
   102,452/158,222 = 158,222/x
3. Step 3: Cross multiply
   102,452x = 158,222 × 158,222
4. Step 4: Simplify right side
   102,452x = 25,034,201,284
5. Step 5: Solve for x
   x = 25,034,201,284/102,452
6. Step 6: Final answer
   x = 244,350.54