Finding the Third Proportional to 169,780 and 373,256

Step by Step Solution

1. Step 1: Write the proportion equation
   169,780 : 373,256 = 373,256 : x
2. Step 2: Convert to fraction form
   169,780/373,256 = 373,256/x
3. Step 3: Cross multiply
   169,780x = 373,256 × 373,256
4. Step 4: Simplify right side
   169,780x = 139,320,041,536
5. Step 5: Solve for x
   x = 139,320,041,536/169,780
6. Step 6: Final answer
   x = 820,591.60