Finding the Third Proportional to 277,022 and 413,710

Step by Step Solution

1. Step 1: Write the proportion equation
   277,022 : 413,710 = 413,710 : x
2. Step 2: Convert to fraction form
   277,022/413,710 = 413,710/x
3. Step 3: Cross multiply
   277,022x = 413,710 × 413,710
4. Step 4: Simplify right side
   277,022x = 171,155,964,100
5. Step 5: Solve for x
   x = 171,155,964,100/277,022
6. Step 6: Final answer
   x = 617,842.50