Finding the Third Proportional to 105,486 and 158,250

Step by Step Solution

1. Step 1: Write the proportion equation
   105,486 : 158,250 = 158,250 : x
2. Step 2: Convert to fraction form
   105,486/158,250 = 158,250/x
3. Step 3: Cross multiply
   105,486x = 158,250 × 158,250
4. Step 4: Simplify right side
   105,486x = 25,043,062,500
5. Step 5: Solve for x
   x = 25,043,062,500/105,486
6. Step 6: Final answer
   x = 237,406.50