Finding the Third Proportional to 103,406 and 158,116

Step by Step Solution

1. Step 1: Write the proportion equation
   103,406 : 158,116 = 158,116 : x
2. Step 2: Convert to fraction form
   103,406/158,116 = 158,116/x
3. Step 3: Cross multiply
   103,406x = 158,116 × 158,116
4. Step 4: Simplify right side
   103,406x = 25,000,669,456
5. Step 5: Solve for x
   x = 25,000,669,456/103,406
6. Step 6: Final answer
   x = 241,771.94