Finding the Third Proportional to 98,648 and 160,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,648 : 160,270.50 = 160,270.50 : x
2. Step 2: Convert to fraction form
   98,648/160,270.50 = 160,270.50/x
3. Step 3: Cross multiply
   98,648x = 160,270.50 × 160,270.50
4. Step 4: Simplify right side
   98,648x = 25,686,633,170.25
5. Step 5: Solve for x
   x = 25,686,633,170.25/98,648
6. Step 6: Final answer
   x = 260,386.76