Finding the Third Proportional to 40,909 and 89,210

Step by Step Solution

1. Step 1: Write the proportion equation
   40,909 : 89,210 = 89,210 : x
2. Step 2: Convert to fraction form
   40,909/89,210 = 89,210/x
3. Step 3: Cross multiply
   40,909x = 89,210 × 89,210
4. Step 4: Simplify right side
   40,909x = 7,958,424,100
5. Step 5: Solve for x
   x = 7,958,424,100/40,909
6. Step 6: Final answer
   x = 194,539.69