Finding the Third Proportional to 89,811 and 195,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,811 : 195,613.50 = 195,613.50 : x
2. Step 2: Convert to fraction form
   89,811/195,613.50 = 195,613.50/x
3. Step 3: Cross multiply
   89,811x = 195,613.50 × 195,613.50
4. Step 4: Simplify right side
   89,811x = 38,264,641,382.25
5. Step 5: Solve for x
   x = 38,264,641,382.25/89,811
6. Step 6: Final answer
   x = 426,057.40