Finding the Third Proportional to 42,181 and 89,101

Step by Step Solution

1. Step 1: Write the proportion equation
   42,181 : 89,101 = 89,101 : x
2. Step 2: Convert to fraction form
   42,181/89,101 = 89,101/x
3. Step 3: Cross multiply
   42,181x = 89,101 × 89,101
4. Step 4: Simplify right side
   42,181x = 7,938,988,201
5. Step 5: Solve for x
   x = 7,938,988,201/42,181
6. Step 6: Final answer
   x = 188,212.42