Finding the Third Proportional to 105,708 and 155,700

Step by Step Solution

1. Step 1: Write the proportion equation
   105,708 : 155,700 = 155,700 : x
2. Step 2: Convert to fraction form
   105,708/155,700 = 155,700/x
3. Step 3: Cross multiply
   105,708x = 155,700 × 155,700
4. Step 4: Simplify right side
   105,708x = 24,242,490,000
5. Step 5: Solve for x
   x = 24,242,490,000/105,708
6. Step 6: Final answer
   x = 229,334.49