Finding the Third Proportional to 300,118 and 457,798

Step by Step Solution

1. Step 1: Write the proportion equation
   300,118 : 457,798 = 457,798 : x
2. Step 2: Convert to fraction form
   300,118/457,798 = 457,798/x
3. Step 3: Cross multiply
   300,118x = 457,798 × 457,798
4. Step 4: Simplify right side
   300,118x = 209,579,008,804
5. Step 5: Solve for x
   x = 209,579,008,804/300,118
6. Step 6: Final answer
   x = 698,322.02