Finding the Third Proportional to 300,126 and 457,810

Step by Step Solution

1. Step 1: Write the proportion equation
   300,126 : 457,810 = 457,810 : x
2. Step 2: Convert to fraction form
   300,126/457,810 = 457,810/x
3. Step 3: Cross multiply
   300,126x = 457,810 × 457,810
4. Step 4: Simplify right side
   300,126x = 209,589,996,100
5. Step 5: Solve for x
   x = 209,589,996,100/300,126
6. Step 6: Final answer
   x = 698,340.02