Finding the Third Proportional to 64,152 and 140,704

Step by Step Solution

1. Step 1: Write the proportion equation
   64,152 : 140,704 = 140,704 : x
2. Step 2: Convert to fraction form
   64,152/140,704 = 140,704/x
3. Step 3: Cross multiply
   64,152x = 140,704 × 140,704
4. Step 4: Simplify right side
   64,152x = 19,797,615,616
5. Step 5: Solve for x
   x = 19,797,615,616/64,152
6. Step 6: Final answer
   x = 308,604.81