Finding the Third Proportional to 63,848 and 140,746

Step by Step Solution

1. Step 1: Write the proportion equation
   63,848 : 140,746 = 140,746 : x
2. Step 2: Convert to fraction form
   63,848/140,746 = 140,746/x
3. Step 3: Cross multiply
   63,848x = 140,746 × 140,746
4. Step 4: Simplify right side
   63,848x = 19,809,436,516
5. Step 5: Solve for x
   x = 19,809,436,516/63,848
6. Step 6: Final answer
   x = 310,259.31