Finding the Third Proportional to 89,399 and 191,779

Step by Step Solution

1. Step 1: Write the proportion equation
   89,399 : 191,779 = 191,779 : x
2. Step 2: Convert to fraction form
   89,399/191,779 = 191,779/x
3. Step 3: Cross multiply
   89,399x = 191,779 × 191,779
4. Step 4: Simplify right side
   89,399x = 36,779,184,841
5. Step 5: Solve for x
   x = 36,779,184,841/89,399
6. Step 6: Final answer
   x = 411,404.88