Finding the Third Proportional to 65,410 and 142,708

Step by Step Solution

1. Step 1: Write the proportion equation
   65,410 : 142,708 = 142,708 : x
2. Step 2: Convert to fraction form
   65,410/142,708 = 142,708/x
3. Step 3: Cross multiply
   65,410x = 142,708 × 142,708
4. Step 4: Simplify right side
   65,410x = 20,365,573,264
5. Step 5: Solve for x
   x = 20,365,573,264/65,410
6. Step 6: Final answer
   x = 311,352.60