Finding the Third Proportional to 410,834 and 619,167

Step by Step Solution

1. Step 1: Write the proportion equation
   410,834 : 619,167 = 619,167 : x
2. Step 2: Convert to fraction form
   410,834/619,167 = 619,167/x
3. Step 3: Cross multiply
   410,834x = 619,167 × 619,167
4. Step 4: Simplify right side
   410,834x = 383,367,773,889
5. Step 5: Solve for x
   x = 383,367,773,889/410,834
6. Step 6: Final answer
   x = 933,145.20