Finding the Third Proportional to 109,699 and 165,900

Step by Step Solution

1. Step 1: Write the proportion equation
   109,699 : 165,900 = 165,900 : x
2. Step 2: Convert to fraction form
   109,699/165,900 = 165,900/x
3. Step 3: Cross multiply
   109,699x = 165,900 × 165,900
4. Step 4: Simplify right side
   109,699x = 27,522,810,000
5. Step 5: Solve for x
   x = 27,522,810,000/109,699
6. Step 6: Final answer
   x = 250,893.90