Finding the Third Proportional to 118,222 and 262,684

Step by Step Solution

1. Step 1: Write the proportion equation
   118,222 : 262,684 = 262,684 : x
2. Step 2: Convert to fraction form
   118,222/262,684 = 262,684/x
3. Step 3: Cross multiply
   118,222x = 262,684 × 262,684
4. Step 4: Simplify right side
   118,222x = 69,002,883,856
5. Step 5: Solve for x
   x = 69,002,883,856/118,222
6. Step 6: Final answer
   x = 583,672.11