Finding the Third Proportional to 103,464 and 158,204

Step by Step Solution

1. Step 1: Write the proportion equation
   103,464 : 158,204 = 158,204 : x
2. Step 2: Convert to fraction form
   103,464/158,204 = 158,204/x
3. Step 3: Cross multiply
   103,464x = 158,204 × 158,204
4. Step 4: Simplify right side
   103,464x = 25,028,505,616
5. Step 5: Solve for x
   x = 25,028,505,616/103,464
6. Step 6: Final answer
   x = 241,905.45