Finding the Third Proportional to 102,448 and 158,216

Step by Step Solution

1. Step 1: Write the proportion equation
   102,448 : 158,216 = 158,216 : x
2. Step 2: Convert to fraction form
   102,448/158,216 = 158,216/x
3. Step 3: Cross multiply
   102,448x = 158,216 × 158,216
4. Step 4: Simplify right side
   102,448x = 25,032,302,656
5. Step 5: Solve for x
   x = 25,032,302,656/102,448
6. Step 6: Final answer
   x = 244,341.55