Finding the Third Proportional to 89,143 and 195,783

Step by Step Solution

1. Step 1: Write the proportion equation
   89,143 : 195,783 = 195,783 : x
2. Step 2: Convert to fraction form
   89,143/195,783 = 195,783/x
3. Step 3: Cross multiply
   89,143x = 195,783 × 195,783
4. Step 4: Simplify right side
   89,143x = 38,330,983,089
5. Step 5: Solve for x
   x = 38,330,983,089/89,143
6. Step 6: Final answer
   x = 429,994.31