Finding the Third Proportional to 65,367 and 132,516

Step by Step Solution

1. Step 1: Write the proportion equation
   65,367 : 132,516 = 132,516 : x
2. Step 2: Convert to fraction form
   65,367/132,516 = 132,516/x
3. Step 3: Cross multiply
   65,367x = 132,516 × 132,516
4. Step 4: Simplify right side
   65,367x = 17,560,490,256
5. Step 5: Solve for x
   x = 17,560,490,256/65,367
6. Step 6: Final answer
   x = 268,644.58