Finding the Third Proportional to 314,487 and 490,410

Step by Step Solution

1. Step 1: Write the proportion equation
   314,487 : 490,410 = 490,410 : x
2. Step 2: Convert to fraction form
   314,487/490,410 = 490,410/x
3. Step 3: Cross multiply
   314,487x = 490,410 × 490,410
4. Step 4: Simplify right side
   314,487x = 240,501,968,100
5. Step 5: Solve for x
   x = 240,501,968,100/314,487
6. Step 6: Final answer
   x = 764,743.75