Finding the Third Proportional to 89,650 and 195,071

Step by Step Solution

1. Step 1: Write the proportion equation
   89,650 : 195,071 = 195,071 : x
2. Step 2: Convert to fraction form
   89,650/195,071 = 195,071/x
3. Step 3: Cross multiply
   89,650x = 195,071 × 195,071
4. Step 4: Simplify right side
   89,650x = 38,052,695,041
5. Step 5: Solve for x
   x = 38,052,695,041/89,650
6. Step 6: Final answer
   x = 424,458.39