Finding the Third Proportional to 98,413.50 and 147,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,413.50 : 147,594.50 = 147,594.50 : x
2. Step 2: Convert to fraction form
   98,413.50/147,594.50 = 147,594.50/x
3. Step 3: Cross multiply
   98,413.50x = 147,594.50 × 147,594.50
4. Step 4: Simplify right side
   98,413.50x = 21,784,136,430.25
5. Step 5: Solve for x
   x = 21,784,136,430.25/98,413.50
6. Step 6: Final answer
   x = 221,353.13