Finding the Third Proportional to 300,392 and 464,968

Step by Step Solution

1. Step 1: Write the proportion equation
   300,392 : 464,968 = 464,968 : x
2. Step 2: Convert to fraction form
   300,392/464,968 = 464,968/x
3. Step 3: Cross multiply
   300,392x = 464,968 × 464,968
4. Step 4: Simplify right side
   300,392x = 216,195,241,024
5. Step 5: Solve for x
   x = 216,195,241,024/300,392
6. Step 6: Final answer
   x = 719,710.38