Finding the Third Proportional to 295,167 and 414,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,167 : 414,184.50 = 414,184.50 : x
2. Step 2: Convert to fraction form
   295,167/414,184.50 = 414,184.50/x
3. Step 3: Cross multiply
   295,167x = 414,184.50 × 414,184.50
4. Step 4: Simplify right side
   295,167x = 171,548,800,040.25
5. Step 5: Solve for x
   x = 171,548,800,040.25/295,167
6. Step 6: Final answer
   x = 581,192.34