Finding the Third Proportional to 64,962 and 142,326

Step by Step Solution

1. Step 1: Write the proportion equation
   64,962 : 142,326 = 142,326 : x
2. Step 2: Convert to fraction form
   64,962/142,326 = 142,326/x
3. Step 3: Cross multiply
   64,962x = 142,326 × 142,326
4. Step 4: Simplify right side
   64,962x = 20,256,690,276
5. Step 5: Solve for x
   x = 20,256,690,276/64,962
6. Step 6: Final answer
   x = 311,823.69