Finding the Third Proportional to 65,516 and 140,372

Step by Step Solution

1. Step 1: Write the proportion equation
   65,516 : 140,372 = 140,372 : x
2. Step 2: Convert to fraction form
   65,516/140,372 = 140,372/x
3. Step 3: Cross multiply
   65,516x = 140,372 × 140,372
4. Step 4: Simplify right side
   65,516x = 19,704,298,384
5. Step 5: Solve for x
   x = 19,704,298,384/65,516
6. Step 6: Final answer
   x = 300,755.52