Finding the Third Proportional to 204,193.50 and 468,678

Step by Step Solution

1. Step 1: Write the proportion equation
   204,193.50 : 468,678 = 468,678 : x
2. Step 2: Convert to fraction form
   204,193.50/468,678 = 468,678/x
3. Step 3: Cross multiply
   204,193.50x = 468,678 × 468,678
4. Step 4: Simplify right side
   204,193.50x = 219,659,067,684
5. Step 5: Solve for x
   x = 219,659,067,684/204,193.50
6. Step 6: Final answer
   x = 1,075,739.76