Finding the Third Proportional to 49,026 and 103,830

Step by Step Solution

1. Step 1: Write the proportion equation
   49,026 : 103,830 = 103,830 : x
2. Step 2: Convert to fraction form
   49,026/103,830 = 103,830/x
3. Step 3: Cross multiply
   49,026x = 103,830 × 103,830
4. Step 4: Simplify right side
   49,026x = 10,780,668,900
5. Step 5: Solve for x
   x = 10,780,668,900/49,026
6. Step 6: Final answer
   x = 219,896.97