Finding the Third Proportional to 89,413.50 and 194,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,413.50 : 194,206.50 = 194,206.50 : x
2. Step 2: Convert to fraction form
   89,413.50/194,206.50 = 194,206.50/x
3. Step 3: Cross multiply
   89,413.50x = 194,206.50 × 194,206.50
4. Step 4: Simplify right side
   89,413.50x = 37,716,164,642.25
5. Step 5: Solve for x
   x = 37,716,164,642.25/89,413.50
6. Step 6: Final answer
   x = 421,817.34