Finding the Third Proportional to 46,710 and 102,504

Step by Step Solution

1. Step 1: Write the proportion equation
   46,710 : 102,504 = 102,504 : x
2. Step 2: Convert to fraction form
   46,710/102,504 = 102,504/x
3. Step 3: Cross multiply
   46,710x = 102,504 × 102,504
4. Step 4: Simplify right side
   46,710x = 10,507,070,016
5. Step 5: Solve for x
   x = 10,507,070,016/46,710
6. Step 6: Final answer
   x = 224,942.63