Finding the Third Proportional to 294,036 and 414,075.38

Step by Step Solution

1. Step 1: Write the proportion equation
   294,036 : 414,075.38 = 414,075.38 : x
2. Step 2: Convert to fraction form
   294,036/414,075.38 = 414,075.38/x
3. Step 3: Cross multiply
   294,036x = 414,075.38 × 414,075.38
4. Step 4: Simplify right side
   294,036x = 171,458,416,181.39
5. Step 5: Solve for x
   x = 171,458,416,181.39/294,036
6. Step 6: Final answer
   x = 583,120.49