Finding the Third Proportional to 49,145 and 105,301

Step by Step Solution

1. Step 1: Write the proportion equation
   49,145 : 105,301 = 105,301 : x
2. Step 2: Convert to fraction form
   49,145/105,301 = 105,301/x
3. Step 3: Cross multiply
   49,145x = 105,301 × 105,301
4. Step 4: Simplify right side
   49,145x = 11,088,300,601
5. Step 5: Solve for x
   x = 11,088,300,601/49,145
6. Step 6: Final answer
   x = 225,624.19