Finding the Third Proportional to 105,592 and 165,300

Step by Step Solution

1. Step 1: Write the proportion equation
   105,592 : 165,300 = 165,300 : x
2. Step 2: Convert to fraction form
   105,592/165,300 = 165,300/x
3. Step 3: Cross multiply
   105,592x = 165,300 × 165,300
4. Step 4: Simplify right side
   105,592x = 27,324,090,000
5. Step 5: Solve for x
   x = 27,324,090,000/105,592
6. Step 6: Final answer
   x = 258,770.46