Finding the Third Proportional to 229,300.50 and 347,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,300.50 : 347,413.50 = 347,413.50 : x
2. Step 2: Convert to fraction form
   229,300.50/347,413.50 = 347,413.50/x
3. Step 3: Cross multiply
   229,300.50x = 347,413.50 × 347,413.50
4. Step 4: Simplify right side
   229,300.50x = 120,696,139,982.25
5. Step 5: Solve for x
   x = 120,696,139,982.25/229,300.50
6. Step 6: Final answer
   x = 526,366.67