Finding the Third Proportional to 105,564 and 155,554

Step by Step Solution

1. Step 1: Write the proportion equation
   105,564 : 155,554 = 155,554 : x
2. Step 2: Convert to fraction form
   105,564/155,554 = 155,554/x
3. Step 3: Cross multiply
   105,564x = 155,554 × 155,554
4. Step 4: Simplify right side
   105,564x = 24,197,046,916
5. Step 5: Solve for x
   x = 24,197,046,916/105,564
6. Step 6: Final answer
   x = 229,216.84