Finding the Third Proportional to 300,059 and 464,466

Step by Step Solution

1. Step 1: Write the proportion equation
   300,059 : 464,466 = 464,466 : x
2. Step 2: Convert to fraction form
   300,059/464,466 = 464,466/x
3. Step 3: Cross multiply
   300,059x = 464,466 × 464,466
4. Step 4: Simplify right side
   300,059x = 215,728,665,156
5. Step 5: Solve for x
   x = 215,728,665,156/300,059
6. Step 6: Final answer
   x = 718,954.16