Finding the Third Proportional to 89,544 and 137,124

Step by Step Solution

1. Step 1: Write the proportion equation
   89,544 : 137,124 = 137,124 : x
2. Step 2: Convert to fraction form
   89,544/137,124 = 137,124/x
3. Step 3: Cross multiply
   89,544x = 137,124 × 137,124
4. Step 4: Simplify right side
   89,544x = 18,802,991,376
5. Step 5: Solve for x
   x = 18,802,991,376/89,544
6. Step 6: Final answer
   x = 209,986.06