Finding the Third Proportional to 89,401 and 191,783

Step by Step Solution

1. Step 1: Write the proportion equation
   89,401 : 191,783 = 191,783 : x
2. Step 2: Convert to fraction form
   89,401/191,783 = 191,783/x
3. Step 3: Cross multiply
   89,401x = 191,783 × 191,783
4. Step 4: Simplify right side
   89,401x = 36,780,719,089
5. Step 5: Solve for x
   x = 36,780,719,089/89,401
6. Step 6: Final answer
   x = 411,412.84