Finding the Third Proportional to 105,577 and 155,566

Step by Step Solution

1. Step 1: Write the proportion equation
   105,577 : 155,566 = 155,566 : x
2. Step 2: Convert to fraction form
   105,577/155,566 = 155,566/x
3. Step 3: Cross multiply
   105,577x = 155,566 × 155,566
4. Step 4: Simplify right side
   105,577x = 24,200,780,356
5. Step 5: Solve for x
   x = 24,200,780,356/105,577
6. Step 6: Final answer
   x = 229,223.98