Finding the Third Proportional to 277,820 and 414,900

Step by Step Solution

1. Step 1: Write the proportion equation
   277,820 : 414,900 = 414,900 : x
2. Step 2: Convert to fraction form
   277,820/414,900 = 414,900/x
3. Step 3: Cross multiply
   277,820x = 414,900 × 414,900
4. Step 4: Simplify right side
   277,820x = 172,142,010,000
5. Step 5: Solve for x
   x = 172,142,010,000/277,820
6. Step 6: Final answer
   x = 619,617.05