Finding the Third Proportional to 103,438 and 158,164

Step by Step Solution

1. Step 1: Write the proportion equation
   103,438 : 158,164 = 158,164 : x
2. Step 2: Convert to fraction form
   103,438/158,164 = 158,164/x
3. Step 3: Cross multiply
   103,438x = 158,164 × 158,164
4. Step 4: Simplify right side
   103,438x = 25,015,850,896
5. Step 5: Solve for x
   x = 25,015,850,896/103,438
6. Step 6: Final answer
   x = 241,843.92