Finding the Third Proportional to 209,396 and 460,264

Step by Step Solution

1. Step 1: Write the proportion equation
   209,396 : 460,264 = 460,264 : x
2. Step 2: Convert to fraction form
   209,396/460,264 = 460,264/x
3. Step 3: Cross multiply
   209,396x = 460,264 × 460,264
4. Step 4: Simplify right side
   209,396x = 211,842,949,696
5. Step 5: Solve for x
   x = 211,842,949,696/209,396
6. Step 6: Final answer
   x = 1,011,685.75