Finding the Third Proportional to 65,774 and 139,747

Step by Step Solution

1. Step 1: Write the proportion equation
   65,774 : 139,747 = 139,747 : x
2. Step 2: Convert to fraction form
   65,774/139,747 = 139,747/x
3. Step 3: Cross multiply
   65,774x = 139,747 × 139,747
4. Step 4: Simplify right side
   65,774x = 19,529,224,009
5. Step 5: Solve for x
   x = 19,529,224,009/65,774
6. Step 6: Final answer
   x = 296,914.04