Finding the Third Proportional to 64,976 and 142,361

Step by Step Solution

1. Step 1: Write the proportion equation
   64,976 : 142,361 = 142,361 : x
2. Step 2: Convert to fraction form
   64,976/142,361 = 142,361/x
3. Step 3: Cross multiply
   64,976x = 142,361 × 142,361
4. Step 4: Simplify right side
   64,976x = 20,266,654,321
5. Step 5: Solve for x
   x = 20,266,654,321/64,976
6. Step 6: Final answer
   x = 311,909.85