Finding the Third Proportional to 89,404 and 191,788

Step by Step Solution

1. Step 1: Write the proportion equation
   89,404 : 191,788 = 191,788 : x
2. Step 2: Convert to fraction form
   89,404/191,788 = 191,788/x
3. Step 3: Cross multiply
   89,404x = 191,788 × 191,788
4. Step 4: Simplify right side
   89,404x = 36,782,636,944
5. Step 5: Solve for x
   x = 36,782,636,944/89,404
6. Step 6: Final answer
   x = 411,420.48