Finding the Third Proportional to 105,730 and 155,674

Step by Step Solution

1. Step 1: Write the proportion equation
   105,730 : 155,674 = 155,674 : x
2. Step 2: Convert to fraction form
   105,730/155,674 = 155,674/x
3. Step 3: Cross multiply
   105,730x = 155,674 × 155,674
4. Step 4: Simplify right side
   105,730x = 24,234,394,276
5. Step 5: Solve for x
   x = 24,234,394,276/105,730
6. Step 6: Final answer
   x = 229,210.20