Finding the Third Proportional to 118,461 and 261,834

Step by Step Solution

1. Step 1: Write the proportion equation
   118,461 : 261,834 = 261,834 : x
2. Step 2: Convert to fraction form
   118,461/261,834 = 261,834/x
3. Step 3: Cross multiply
   118,461x = 261,834 × 261,834
4. Step 4: Simplify right side
   118,461x = 68,557,043,556
5. Step 5: Solve for x
   x = 68,557,043,556/118,461
6. Step 6: Final answer
   x = 578,730.92