Finding the Third Proportional to 147,490 and 320,004

Step by Step Solution

1. Step 1: Write the proportion equation
   147,490 : 320,004 = 320,004 : x
2. Step 2: Convert to fraction form
   147,490/320,004 = 320,004/x
3. Step 3: Cross multiply
   147,490x = 320,004 × 320,004
4. Step 4: Simplify right side
   147,490x = 102,402,560,016
5. Step 5: Solve for x
   x = 102,402,560,016/147,490
6. Step 6: Final answer
   x = 694,301.72