Finding the Third Proportional to 209,218 and 460,664

Step by Step Solution

1. Step 1: Write the proportion equation
   209,218 : 460,664 = 460,664 : x
2. Step 2: Convert to fraction form
   209,218/460,664 = 460,664/x
3. Step 3: Cross multiply
   209,218x = 460,664 × 460,664
4. Step 4: Simplify right side
   209,218x = 212,211,320,896
5. Step 5: Solve for x
   x = 212,211,320,896/209,218
6. Step 6: Final answer
   x = 1,014,307.19