Finding the Third Proportional to 110,092.50 and 158,942.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110,092.50 : 158,942.25 = 158,942.25 : x
2. Step 2: Convert to fraction form
   110,092.50/158,942.25 = 158,942.25/x
3. Step 3: Cross multiply
   110,092.50x = 158,942.25 × 158,942.25
4. Step 4: Simplify right side
   110,092.50x = 25,262,638,835.06
5. Step 5: Solve for x
   x = 25,262,638,835.06/110,092.50
6. Step 6: Final answer
   x = 229,467.39