Finding the Third Proportional to 277,266 and 417,870

Step by Step Solution

1. Step 1: Write the proportion equation
   277,266 : 417,870 = 417,870 : x
2. Step 2: Convert to fraction form
   277,266/417,870 = 417,870/x
3. Step 3: Cross multiply
   277,266x = 417,870 × 417,870
4. Step 4: Simplify right side
   277,266x = 174,615,336,900
5. Step 5: Solve for x
   x = 174,615,336,900/277,266
6. Step 6: Final answer
   x = 629,775.51