Finding the Third Proportional to 109,564 and 174,186

Step by Step Solution

1. Step 1: Write the proportion equation
   109,564 : 174,186 = 174,186 : x
2. Step 2: Convert to fraction form
   109,564/174,186 = 174,186/x
3. Step 3: Cross multiply
   109,564x = 174,186 × 174,186
4. Step 4: Simplify right side
   109,564x = 30,340,762,596
5. Step 5: Solve for x
   x = 30,340,762,596/109,564
6. Step 6: Final answer
   x = 276,922.74