Finding the Third Proportional to 205,282 and 314,910

Step by Step Solution

1. Step 1: Write the proportion equation
   205,282 : 314,910 = 314,910 : x
2. Step 2: Convert to fraction form
   205,282/314,910 = 314,910/x
3. Step 3: Cross multiply
   205,282x = 314,910 × 314,910
4. Step 4: Simplify right side
   205,282x = 99,168,308,100
5. Step 5: Solve for x
   x = 99,168,308,100/205,282
6. Step 6: Final answer
   x = 483,083.31