Finding the Third Proportional to 65,666 and 142,348

Step by Step Solution

1. Step 1: Write the proportion equation
   65,666 : 142,348 = 142,348 : x
2. Step 2: Convert to fraction form
   65,666/142,348 = 142,348/x
3. Step 3: Cross multiply
   65,666x = 142,348 × 142,348
4. Step 4: Simplify right side
   65,666x = 20,262,953,104
5. Step 5: Solve for x
   x = 20,262,953,104/65,666
6. Step 6: Final answer
   x = 308,576.02