Finding the Third Proportional to 147,780 and 320,256

Step by Step Solution

1. Step 1: Write the proportion equation
   147,780 : 320,256 = 320,256 : x
2. Step 2: Convert to fraction form
   147,780/320,256 = 320,256/x
3. Step 3: Cross multiply
   147,780x = 320,256 × 320,256
4. Step 4: Simplify right side
   147,780x = 102,563,905,536
5. Step 5: Solve for x
   x = 102,563,905,536/147,780
6. Step 6: Final answer
   x = 694,031.03