Finding the Third Proportional to 103,764 and 165,180

Step by Step Solution

1. Step 1: Write the proportion equation
   103,764 : 165,180 = 165,180 : x
2. Step 2: Convert to fraction form
   103,764/165,180 = 165,180/x
3. Step 3: Cross multiply
   103,764x = 165,180 × 165,180
4. Step 4: Simplify right side
   103,764x = 27,284,432,400
5. Step 5: Solve for x
   x = 27,284,432,400/103,764
6. Step 6: Final answer
   x = 262,947.00