Finding the Third Proportional to 81,909 and 123,615

Step by Step Solution

1. Step 1: Write the proportion equation
   81,909 : 123,615 = 123,615 : x
2. Step 2: Convert to fraction form
   81,909/123,615 = 123,615/x
3. Step 3: Cross multiply
   81,909x = 123,615 × 123,615
4. Step 4: Simplify right side
   81,909x = 15,280,668,225
5. Step 5: Solve for x
   x = 15,280,668,225/81,909
6. Step 6: Final answer
   x = 186,556.64