Finding the Third Proportional to 295,596 and 458,574.75

Step by Step Solution

1. Step 1: Write the proportion equation
   295,596 : 458,574.75 = 458,574.75 : x
2. Step 2: Convert to fraction form
   295,596/458,574.75 = 458,574.75/x
3. Step 3: Cross multiply
   295,596x = 458,574.75 × 458,574.75
4. Step 4: Simplify right side
   295,596x = 210,290,801,337.56
5. Step 5: Solve for x
   x = 210,290,801,337.56/295,596
6. Step 6: Final answer
   x = 711,412.88