Finding the Third Proportional to 65,954 and 139,774

Step by Step Solution

1. Step 1: Write the proportion equation
   65,954 : 139,774 = 139,774 : x
2. Step 2: Convert to fraction form
   65,954/139,774 = 139,774/x
3. Step 3: Cross multiply
   65,954x = 139,774 × 139,774
4. Step 4: Simplify right side
   65,954x = 19,536,771,076
5. Step 5: Solve for x
   x = 19,536,771,076/65,954
6. Step 6: Final answer
   x = 296,218.14