Finding the Third Proportional to 205,510 and 314,096

Step by Step Solution

1. Step 1: Write the proportion equation
   205,510 : 314,096 = 314,096 : x
2. Step 2: Convert to fraction form
   205,510/314,096 = 314,096/x
3. Step 3: Cross multiply
   205,510x = 314,096 × 314,096
4. Step 4: Simplify right side
   205,510x = 98,656,297,216
5. Step 5: Solve for x
   x = 98,656,297,216/205,510
6. Step 6: Final answer
   x = 480,055.94