Finding the Third Proportional to 185,697 and 287,064

Step by Step Solution

1. Step 1: Write the proportion equation
   185,697 : 287,064 = 287,064 : x
2. Step 2: Convert to fraction form
   185,697/287,064 = 287,064/x
3. Step 3: Cross multiply
   185,697x = 287,064 × 287,064
4. Step 4: Simplify right side
   185,697x = 82,405,740,096
5. Step 5: Solve for x
   x = 82,405,740,096/185,697
6. Step 6: Final answer
   x = 443,764.52