Finding the Third Proportional to 64,290 and 140,004

Step by Step Solution

1. Step 1: Write the proportion equation
   64,290 : 140,004 = 140,004 : x
2. Step 2: Convert to fraction form
   64,290/140,004 = 140,004/x
3. Step 3: Cross multiply
   64,290x = 140,004 × 140,004
4. Step 4: Simplify right side
   64,290x = 19,601,120,016
5. Step 5: Solve for x
   x = 19,601,120,016/64,290
6. Step 6: Final answer
   x = 304,885.99