Finding the Third Proportional to 173,092 and 261,510

Step by Step Solution

1. Step 1: Write the proportion equation
   173,092 : 261,510 = 261,510 : x
2. Step 2: Convert to fraction form
   173,092/261,510 = 261,510/x
3. Step 3: Cross multiply
   173,092x = 261,510 × 261,510
4. Step 4: Simplify right side
   173,092x = 68,387,480,100
5. Step 5: Solve for x
   x = 68,387,480,100/173,092
6. Step 6: Final answer
   x = 395,093.25