Finding the Third Proportional to 100,969 and 155,665

Step by Step Solution

1. Step 1: Write the proportion equation
   100,969 : 155,665 = 155,665 : x
2. Step 2: Convert to fraction form
   100,969/155,665 = 155,665/x
3. Step 3: Cross multiply
   100,969x = 155,665 × 155,665
4. Step 4: Simplify right side
   100,969x = 24,231,592,225
5. Step 5: Solve for x
   x = 24,231,592,225/100,969
6. Step 6: Final answer
   x = 239,990.42