Finding the Third Proportional to 65,798 and 142,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,798 : 142,684 = 142,684 : x
2. Step 2: Convert to fraction form
   65,798/142,684 = 142,684/x
3. Step 3: Cross multiply
   65,798x = 142,684 × 142,684
4. Step 4: Simplify right side
   65,798x = 20,358,723,856
5. Step 5: Solve for x
   x = 20,358,723,856/65,798
6. Step 6: Final answer
   x = 309,412.50