Finding the Third Proportional to 374,380 and 611,256

Step by Step Solution

1. Step 1: Write the proportion equation
   374,380 : 611,256 = 611,256 : x
2. Step 2: Convert to fraction form
   374,380/611,256 = 611,256/x
3. Step 3: Cross multiply
   374,380x = 611,256 × 611,256
4. Step 4: Simplify right side
   374,380x = 373,633,897,536
5. Step 5: Solve for x
   x = 373,633,897,536/374,380
6. Step 6: Final answer
   x = 998,007.10