Finding the Third Proportional to 64,978 and 142,365

Step by Step Solution

1. Step 1: Write the proportion equation
   64,978 : 142,365 = 142,365 : x
2. Step 2: Convert to fraction form
   64,978/142,365 = 142,365/x
3. Step 3: Cross multiply
   64,978x = 142,365 × 142,365
4. Step 4: Simplify right side
   64,978x = 20,267,793,225
5. Step 5: Solve for x
   x = 20,267,793,225/64,978
6. Step 6: Final answer
   x = 311,917.78