Finding the Third Proportional to 118,231 and 262,705

Step by Step Solution

1. Step 1: Write the proportion equation
   118,231 : 262,705 = 262,705 : x
2. Step 2: Convert to fraction form
   118,231/262,705 = 262,705/x
3. Step 3: Cross multiply
   118,231x = 262,705 × 262,705
4. Step 4: Simplify right side
   118,231x = 69,013,917,025
5. Step 5: Solve for x
   x = 69,013,917,025/118,231
6. Step 6: Final answer
   x = 583,721.00