Finding the Third Proportional to 105,783 and 162,030

Step by Step Solution

1. Step 1: Write the proportion equation
   105,783 : 162,030 = 162,030 : x
2. Step 2: Convert to fraction form
   105,783/162,030 = 162,030/x
3. Step 3: Cross multiply
   105,783x = 162,030 × 162,030
4. Step 4: Simplify right side
   105,783x = 26,253,720,900
5. Step 5: Solve for x
   x = 26,253,720,900/105,783
6. Step 6: Final answer
   x = 248,184.69