Finding the Third Proportional to 300,123 and 457,808

Step by Step Solution

1. Step 1: Write the proportion equation
   300,123 : 457,808 = 457,808 : x
2. Step 2: Convert to fraction form
   300,123/457,808 = 457,808/x
3. Step 3: Cross multiply
   300,123x = 457,808 × 457,808
4. Step 4: Simplify right side
   300,123x = 209,588,164,864
5. Step 5: Solve for x
   x = 209,588,164,864/300,123
6. Step 6: Final answer
   x = 698,340.90