Finding the Third Proportional to 209,634 and 465,708

Step by Step Solution

1. Step 1: Write the proportion equation
   209,634 : 465,708 = 465,708 : x
2. Step 2: Convert to fraction form
   209,634/465,708 = 465,708/x
3. Step 3: Cross multiply
   209,634x = 465,708 × 465,708
4. Step 4: Simplify right side
   209,634x = 216,883,941,264
5. Step 5: Solve for x
   x = 216,883,941,264/209,634
6. Step 6: Final answer
   x = 1,034,583.80