Finding the Third Proportional to 185,644 and 404,617

Step by Step Solution

1. Step 1: Write the proportion equation
   185,644 : 404,617 = 404,617 : x
2. Step 2: Convert to fraction form
   185,644/404,617 = 404,617/x
3. Step 3: Cross multiply
   185,644x = 404,617 × 404,617
4. Step 4: Simplify right side
   185,644x = 163,714,916,689
5. Step 5: Solve for x
   x = 163,714,916,689/185,644
6. Step 6: Final answer
   x = 881,875.62