Finding the Third Proportional to 89,181 and 138,024

Step by Step Solution

1. Step 1: Write the proportion equation
   89,181 : 138,024 = 138,024 : x
2. Step 2: Convert to fraction form
   89,181/138,024 = 138,024/x
3. Step 3: Cross multiply
   89,181x = 138,024 × 138,024
4. Step 4: Simplify right side
   89,181x = 19,050,624,576
5. Step 5: Solve for x
   x = 19,050,624,576/89,181
6. Step 6: Final answer
   x = 213,617.53