Finding the Third Proportional to 65,026 and 139,754

Step by Step Solution

1. Step 1: Write the proportion equation
   65,026 : 139,754 = 139,754 : x
2. Step 2: Convert to fraction form
   65,026/139,754 = 139,754/x
3. Step 3: Cross multiply
   65,026x = 139,754 × 139,754
4. Step 4: Simplify right side
   65,026x = 19,531,180,516
5. Step 5: Solve for x
   x = 19,531,180,516/65,026
6. Step 6: Final answer
   x = 300,359.56