Finding the Third Proportional to 49,130 and 105,269

Step by Step Solution

1. Step 1: Write the proportion equation
   49,130 : 105,269 = 105,269 : x
2. Step 2: Convert to fraction form
   49,130/105,269 = 105,269/x
3. Step 3: Cross multiply
   49,130x = 105,269 × 105,269
4. Step 4: Simplify right side
   49,130x = 11,081,562,361
5. Step 5: Solve for x
   x = 11,081,562,361/49,130
6. Step 6: Final answer
   x = 225,555.92