Finding the Third Proportional to 75,018 and 105,504

Step by Step Solution

1. Step 1: Write the proportion equation
   75,018 : 105,504 = 105,504 : x
2. Step 2: Convert to fraction form
   75,018/105,504 = 105,504/x
3. Step 3: Cross multiply
   75,018x = 105,504 × 105,504
4. Step 4: Simplify right side
   75,018x = 11,131,094,016
5. Step 5: Solve for x
   x = 11,131,094,016/75,018
6. Step 6: Final answer
   x = 148,378.98