Finding the Third Proportional to 140,978 and 295,796

Step by Step Solution

1. Step 1: Write the proportion equation
   140,978 : 295,796 = 295,796 : x
2. Step 2: Convert to fraction form
   140,978/295,796 = 295,796/x
3. Step 3: Cross multiply
   140,978x = 295,796 × 295,796
4. Step 4: Simplify right side
   140,978x = 87,495,273,616
5. Step 5: Solve for x
   x = 87,495,273,616/140,978
6. Step 6: Final answer
   x = 620,630.69