Finding the Third Proportional to 109,243.50 and 147,596.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,243.50 : 147,596.25 = 147,596.25 : x
2. Step 2: Convert to fraction form
   109,243.50/147,596.25 = 147,596.25/x
3. Step 3: Cross multiply
   109,243.50x = 147,596.25 × 147,596.25
4. Step 4: Simplify right side
   109,243.50x = 21,784,653,014.06
5. Step 5: Solve for x
   x = 21,784,653,014.06/109,243.50
6. Step 6: Final answer
   x = 199,413.72