Finding the Third Proportional to 300,523.50 and 468,018

Step by Step Solution

1. Step 1: Write the proportion equation
   300,523.50 : 468,018 = 468,018 : x
2. Step 2: Convert to fraction form
   300,523.50/468,018 = 468,018/x
3. Step 3: Cross multiply
   300,523.50x = 468,018 × 468,018
4. Step 4: Simplify right side
   300,523.50x = 219,040,848,324
5. Step 5: Solve for x
   x = 219,040,848,324/300,523.50
6. Step 6: Final answer
   x = 728,864.29