Finding the Third Proportional to 416,274 and 619,802

Step by Step Solution

1. Step 1: Write the proportion equation
   416,274 : 619,802 = 619,802 : x
2. Step 2: Convert to fraction form
   416,274/619,802 = 619,802/x
3. Step 3: Cross multiply
   416,274x = 619,802 × 619,802
4. Step 4: Simplify right side
   416,274x = 384,154,519,204
5. Step 5: Solve for x
   x = 384,154,519,204/416,274
6. Step 6: Final answer
   x = 922,840.53