Finding the Third Proportional to 89,164 and 191,384

Step by Step Solution

1. Step 1: Write the proportion equation
   89,164 : 191,384 = 191,384 : x
2. Step 2: Convert to fraction form
   89,164/191,384 = 191,384/x
3. Step 3: Cross multiply
   89,164x = 191,384 × 191,384
4. Step 4: Simplify right side
   89,164x = 36,627,835,456
5. Step 5: Solve for x
   x = 36,627,835,456/89,164
6. Step 6: Final answer
   x = 410,791.75