Finding the Third Proportional to 294,119 and 414,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,119 : 414,174.50 = 414,174.50 : x
2. Step 2: Convert to fraction form
   294,119/414,174.50 = 414,174.50/x
3. Step 3: Cross multiply
   294,119x = 414,174.50 × 414,174.50
4. Step 4: Simplify right side
   294,119x = 171,540,516,450.25
5. Step 5: Solve for x
   x = 171,540,516,450.25/294,119
6. Step 6: Final answer
   x = 583,235.07