Finding the Third Proportional to 300,494 and 465,051

Step by Step Solution

1. Step 1: Write the proportion equation
   300,494 : 465,051 = 465,051 : x
2. Step 2: Convert to fraction form
   300,494/465,051 = 465,051/x
3. Step 3: Cross multiply
   300,494x = 465,051 × 465,051
4. Step 4: Simplify right side
   300,494x = 216,272,432,601
5. Step 5: Solve for x
   x = 216,272,432,601/300,494
6. Step 6: Final answer
   x = 719,722.96