Finding the Third Proportional to 585,200 and 1,277,632

Step by Step Solution

1. Step 1: Write the proportion equation
   585,200 : 1,277,632 = 1,277,632 : x
2. Step 2: Convert to fraction form
   585,200/1,277,632 = 1,277,632/x
3. Step 3: Cross multiply
   585,200x = 1,277,632 × 1,277,632
4. Step 4: Simplify right side
   585,200x = 1,632,343,527,424
5. Step 5: Solve for x
   x = 1,632,343,527,424/585,200
6. Step 6: Final answer
   x = 2,789,377.18