Finding the Third Proportional to 110,413.25 and 238,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,413.25 : 238,322.50 = 238,322.50 : x
2. Step 2: Convert to fraction form
   110,413.25/238,322.50 = 238,322.50/x
3. Step 3: Cross multiply
   110,413.25x = 238,322.50 × 238,322.50
4. Step 4: Simplify right side
   110,413.25x = 56,797,614,006.25
5. Step 5: Solve for x
   x = 56,797,614,006.25/110,413.25
6. Step 6: Final answer
   x = 514,409.40