Finding the Third Proportional to 40,939 and 89,672

Step by Step Solution

1. Step 1: Write the proportion equation
   40,939 : 89,672 = 89,672 : x
2. Step 2: Convert to fraction form
   40,939/89,672 = 89,672/x
3. Step 3: Cross multiply
   40,939x = 89,672 × 89,672
4. Step 4: Simplify right side
   40,939x = 8,041,067,584
5. Step 5: Solve for x
   x = 8,041,067,584/40,939
6. Step 6: Final answer
   x = 196,415.83