Finding the Third Proportional to 100,969 and 158,404

Step by Step Solution

1. Step 1: Write the proportion equation
   100,969 : 158,404 = 158,404 : x
2. Step 2: Convert to fraction form
   100,969/158,404 = 158,404/x
3. Step 3: Cross multiply
   100,969x = 158,404 × 158,404
4. Step 4: Simplify right side
   100,969x = 25,091,827,216
5. Step 5: Solve for x
   x = 25,091,827,216/100,969
6. Step 6: Final answer
   x = 248,510.21