Finding the Third Proportional to 65,666 and 142,340

Step by Step Solution

1. Step 1: Write the proportion equation
   65,666 : 142,340 = 142,340 : x
2. Step 2: Convert to fraction form
   65,666/142,340 = 142,340/x
3. Step 3: Cross multiply
   65,666x = 142,340 × 142,340
4. Step 4: Simplify right side
   65,666x = 20,260,675,600
5. Step 5: Solve for x
   x = 20,260,675,600/65,666
6. Step 6: Final answer
   x = 308,541.34