Finding the Third Proportional to 105,009 and 155,865

Step by Step Solution

1. Step 1: Write the proportion equation
   105,009 : 155,865 = 155,865 : x
2. Step 2: Convert to fraction form
   105,009/155,865 = 155,865/x
3. Step 3: Cross multiply
   105,009x = 155,865 × 155,865
4. Step 4: Simplify right side
   105,009x = 24,293,898,225
5. Step 5: Solve for x
   x = 24,293,898,225/105,009
6. Step 6: Final answer
   x = 231,350.63