Finding the Third Proportional to 89,407 and 191,795

Step by Step Solution

1. Step 1: Write the proportion equation
   89,407 : 191,795 = 191,795 : x
2. Step 2: Convert to fraction form
   89,407/191,795 = 191,795/x
3. Step 3: Cross multiply
   89,407x = 191,795 × 191,795
4. Step 4: Simplify right side
   89,407x = 36,785,322,025
5. Step 5: Solve for x
   x = 36,785,322,025/89,407
6. Step 6: Final answer
   x = 411,436.71