Finding the Third Proportional to 209,986 and 460,798

Step by Step Solution

1. Step 1: Write the proportion equation
   209,986 : 460,798 = 460,798 : x
2. Step 2: Convert to fraction form
   209,986/460,798 = 460,798/x
3. Step 3: Cross multiply
   209,986x = 460,798 × 460,798
4. Step 4: Simplify right side
   209,986x = 212,334,796,804
5. Step 5: Solve for x
   x = 212,334,796,804/209,986
6. Step 6: Final answer
   x = 1,011,185.49