Finding the Third Proportional to 367,456 and 567,830

Step by Step Solution

1. Step 1: Write the proportion equation
   367,456 : 567,830 = 567,830 : x
2. Step 2: Convert to fraction form
   367,456/567,830 = 567,830/x
3. Step 3: Cross multiply
   367,456x = 567,830 × 567,830
4. Step 4: Simplify right side
   367,456x = 322,430,908,900
5. Step 5: Solve for x
   x = 322,430,908,900/367,456
6. Step 6: Final answer
   x = 877,468.07