Finding the Third Proportional to 313,392 and 456,960

Step by Step Solution

1. Step 1: Write the proportion equation
   313,392 : 456,960 = 456,960 : x
2. Step 2: Convert to fraction form
   313,392/456,960 = 456,960/x
3. Step 3: Cross multiply
   313,392x = 456,960 × 456,960
4. Step 4: Simplify right side
   313,392x = 208,812,441,600
5. Step 5: Solve for x
   x = 208,812,441,600/313,392
6. Step 6: Final answer
   x = 666,297.93