Finding the Third Proportional to 185,534 and 404,188

Step by Step Solution

1. Step 1: Write the proportion equation
   185,534 : 404,188 = 404,188 : x
2. Step 2: Convert to fraction form
   185,534/404,188 = 404,188/x
3. Step 3: Cross multiply
   185,534x = 404,188 × 404,188
4. Step 4: Simplify right side
   185,534x = 163,367,939,344
5. Step 5: Solve for x
   x = 163,367,939,344/185,534
6. Step 6: Final answer
   x = 880,528.31