Finding the Third Proportional to 90,649.50 and 194,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,649.50 : 194,413.50 = 194,413.50 : x
2. Step 2: Convert to fraction form
   90,649.50/194,413.50 = 194,413.50/x
3. Step 3: Cross multiply
   90,649.50x = 194,413.50 × 194,413.50
4. Step 4: Simplify right side
   90,649.50x = 37,796,608,982.25
5. Step 5: Solve for x
   x = 37,796,608,982.25/90,649.50
6. Step 6: Final answer
   x = 416,953.31