Finding the Third Proportional to 209,632 and 465,704

Step by Step Solution

1. Step 1: Write the proportion equation
   209,632 : 465,704 = 465,704 : x
2. Step 2: Convert to fraction form
   209,632/465,704 = 465,704/x
3. Step 3: Cross multiply
   209,632x = 465,704 × 465,704
4. Step 4: Simplify right side
   209,632x = 216,880,215,616
5. Step 5: Solve for x
   x = 216,880,215,616/209,632
6. Step 6: Final answer
   x = 1,034,575.90