Finding the Third Proportional to 111,909 and 173,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,909 : 173,536.50 = 173,536.50 : x
2. Step 2: Convert to fraction form
   111,909/173,536.50 = 173,536.50/x
3. Step 3: Cross multiply
   111,909x = 173,536.50 × 173,536.50
4. Step 4: Simplify right side
   111,909x = 30,114,916,832.25
5. Step 5: Solve for x
   x = 30,114,916,832.25/111,909
6. Step 6: Final answer
   x = 269,101.83