Finding the Third Proportional to 410,832 and 619,164

Step by Step Solution

1. Step 1: Write the proportion equation
   410,832 : 619,164 = 619,164 : x
2. Step 2: Convert to fraction form
   410,832/619,164 = 619,164/x
3. Step 3: Cross multiply
   410,832x = 619,164 × 619,164
4. Step 4: Simplify right side
   410,832x = 383,364,058,896
5. Step 5: Solve for x
   x = 383,364,058,896/410,832
6. Step 6: Final answer
   x = 933,140.70