Finding the Third Proportional to 65,111 and 138,216

Step by Step Solution

1. Step 1: Write the proportion equation
   65,111 : 138,216 = 138,216 : x
2. Step 2: Convert to fraction form
   65,111/138,216 = 138,216/x
3. Step 3: Cross multiply
   65,111x = 138,216 × 138,216
4. Step 4: Simplify right side
   65,111x = 19,103,662,656
5. Step 5: Solve for x
   x = 19,103,662,656/65,111
6. Step 6: Final answer
   x = 293,401.46