Finding the Third Proportional to 416,264 and 619,788

Step by Step Solution

1. Step 1: Write the proportion equation
   416,264 : 619,788 = 619,788 : x
2. Step 2: Convert to fraction form
   416,264/619,788 = 619,788/x
3. Step 3: Cross multiply
   416,264x = 619,788 × 619,788
4. Step 4: Simplify right side
   416,264x = 384,137,164,944
5. Step 5: Solve for x
   x = 384,137,164,944/416,264
6. Step 6: Final answer
   x = 922,821.01