Finding the Third Proportional to 89,766 and 191,195

Step by Step Solution

1. Step 1: Write the proportion equation
   89,766 : 191,195 = 191,195 : x
2. Step 2: Convert to fraction form
   89,766/191,195 = 191,195/x
3. Step 3: Cross multiply
   89,766x = 191,195 × 191,195
4. Step 4: Simplify right side
   89,766x = 36,555,528,025
5. Step 5: Solve for x
   x = 36,555,528,025/89,766
6. Step 6: Final answer
   x = 407,231.34