Finding the Third Proportional to 65,529 and 154,026

Step by Step Solution

1. Step 1: Write the proportion equation
   65,529 : 154,026 = 154,026 : x
2. Step 2: Convert to fraction form
   65,529/154,026 = 154,026/x
3. Step 3: Cross multiply
   65,529x = 154,026 × 154,026
4. Step 4: Simplify right side
   65,529x = 23,724,008,676
5. Step 5: Solve for x
   x = 23,724,008,676/65,529
6. Step 6: Final answer
   x = 362,038.31