Finding the Third Proportional to 64,514 and 142,852

Step by Step Solution

1. Step 1: Write the proportion equation
   64,514 : 142,852 = 142,852 : x
2. Step 2: Convert to fraction form
   64,514/142,852 = 142,852/x
3. Step 3: Cross multiply
   64,514x = 142,852 × 142,852
4. Step 4: Simplify right side
   64,514x = 20,406,693,904
5. Step 5: Solve for x
   x = 20,406,693,904/64,514
6. Step 6: Final answer
   x = 316,314.19