Finding the Third Proportional to 185,085 and 404,159.63

Step by Step Solution

1. Step 1: Write the proportion equation
   185,085 : 404,159.63 = 404,159.63 : x
2. Step 2: Convert to fraction form
   185,085/404,159.63 = 404,159.63/x
3. Step 3: Cross multiply
   185,085x = 404,159.63 × 404,159.63
4. Step 4: Simplify right side
   185,085x = 163,345,002,480.14
5. Step 5: Solve for x
   x = 163,345,002,480.14/185,085
6. Step 6: Final answer
   x = 882,540.47