Finding the Third Proportional to 182,820 and 400,616

Step by Step Solution

1. Step 1: Write the proportion equation
   182,820 : 400,616 = 400,616 : x
2. Step 2: Convert to fraction form
   182,820/400,616 = 400,616/x
3. Step 3: Cross multiply
   182,820x = 400,616 × 400,616
4. Step 4: Simplify right side
   182,820x = 160,493,179,456
5. Step 5: Solve for x
   x = 160,493,179,456/182,820
6. Step 6: Final answer
   x = 877,875.39