Finding the Third Proportional to 103,089 and 150,942

Step by Step Solution

1. Step 1: Write the proportion equation
   103,089 : 150,942 = 150,942 : x
2. Step 2: Convert to fraction form
   103,089/150,942 = 150,942/x
3. Step 3: Cross multiply
   103,089x = 150,942 × 150,942
4. Step 4: Simplify right side
   103,089x = 22,783,487,364
5. Step 5: Solve for x
   x = 22,783,487,364/103,089
6. Step 6: Final answer
   x = 221,007.94