Finding the Third Proportional to 147,256 and 320,288

Step by Step Solution

1. Step 1: Write the proportion equation
   147,256 : 320,288 = 320,288 : x
2. Step 2: Convert to fraction form
   147,256/320,288 = 320,288/x
3. Step 3: Cross multiply
   147,256x = 320,288 × 320,288
4. Step 4: Simplify right side
   147,256x = 102,584,402,944
5. Step 5: Solve for x
   x = 102,584,402,944/147,256
6. Step 6: Final answer
   x = 696,639.89