Finding the Third Proportional to 89,405 and 191,791

Step by Step Solution

1. Step 1: Write the proportion equation
   89,405 : 191,791 = 191,791 : x
2. Step 2: Convert to fraction form
   89,405/191,791 = 191,791/x
3. Step 3: Cross multiply
   89,405x = 191,791 × 191,791
4. Step 4: Simplify right side
   89,405x = 36,783,787,681
5. Step 5: Solve for x
   x = 36,783,787,681/89,405
6. Step 6: Final answer
   x = 411,428.75