Finding the Third Proportional to 105,490 and 158,256

Step by Step Solution

1. Step 1: Write the proportion equation
   105,490 : 158,256 = 158,256 : x
2. Step 2: Convert to fraction form
   105,490/158,256 = 158,256/x
3. Step 3: Cross multiply
   105,490x = 158,256 × 158,256
4. Step 4: Simplify right side
   105,490x = 25,044,961,536
5. Step 5: Solve for x
   x = 25,044,961,536/105,490
6. Step 6: Final answer
   x = 237,415.50