Finding the Third Proportional to 89,480 and 137,024

Step by Step Solution

1. Step 1: Write the proportion equation
   89,480 : 137,024 = 137,024 : x
2. Step 2: Convert to fraction form
   89,480/137,024 = 137,024/x
3. Step 3: Cross multiply
   89,480x = 137,024 × 137,024
4. Step 4: Simplify right side
   89,480x = 18,775,576,576
5. Step 5: Solve for x
   x = 18,775,576,576/89,480
6. Step 6: Final answer
   x = 209,829.87