Finding the Third Proportional to 49,196 and 105,559

Step by Step Solution

1. Step 1: Write the proportion equation
   49,196 : 105,559 = 105,559 : x
2. Step 2: Convert to fraction form
   49,196/105,559 = 105,559/x
3. Step 3: Cross multiply
   49,196x = 105,559 × 105,559
4. Step 4: Simplify right side
   49,196x = 11,142,702,481
5. Step 5: Solve for x
   x = 11,142,702,481/49,196
6. Step 6: Final answer
   x = 226,496.11