Finding the Third Proportional to 109,566 and 174,189

Step by Step Solution

1. Step 1: Write the proportion equation
   109,566 : 174,189 = 174,189 : x
2. Step 2: Convert to fraction form
   109,566/174,189 = 174,189/x
3. Step 3: Cross multiply
   109,566x = 174,189 × 174,189
4. Step 4: Simplify right side
   109,566x = 30,341,807,721
5. Step 5: Solve for x
   x = 30,341,807,721/109,566
6. Step 6: Final answer
   x = 276,927.22