Finding the Third Proportional to 65,533 and 154,052

Step by Step Solution

1. Step 1: Write the proportion equation
   65,533 : 154,052 = 154,052 : x
2. Step 2: Convert to fraction form
   65,533/154,052 = 154,052/x
3. Step 3: Cross multiply
   65,533x = 154,052 × 154,052
4. Step 4: Simplify right side
   65,533x = 23,732,018,704
5. Step 5: Solve for x
   x = 23,732,018,704/65,533
6. Step 6: Final answer
   x = 362,138.44