Finding the Third Proportional to 185,424 and 404,688

Step by Step Solution

1. Step 1: Write the proportion equation
   185,424 : 404,688 = 404,688 : x
2. Step 2: Convert to fraction form
   185,424/404,688 = 404,688/x
3. Step 3: Cross multiply
   185,424x = 404,688 × 404,688
4. Step 4: Simplify right side
   185,424x = 163,772,377,344
5. Step 5: Solve for x
   x = 163,772,377,344/185,424
6. Step 6: Final answer
   x = 883,231.82