Finding the Third Proportional to 205,136 and 314,884

Step by Step Solution

1. Step 1: Write the proportion equation
   205,136 : 314,884 = 314,884 : x
2. Step 2: Convert to fraction form
   205,136/314,884 = 314,884/x
3. Step 3: Cross multiply
   205,136x = 314,884 × 314,884
4. Step 4: Simplify right side
   205,136x = 99,151,933,456
5. Step 5: Solve for x
   x = 99,151,933,456/205,136
6. Step 6: Final answer
   x = 483,347.31