Finding the Third Proportional to 111,796 and 174,500

Step by Step Solution

1. Step 1: Write the proportion equation
   111,796 : 174,500 = 174,500 : x
2. Step 2: Convert to fraction form
   111,796/174,500 = 174,500/x
3. Step 3: Cross multiply
   111,796x = 174,500 × 174,500
4. Step 4: Simplify right side
   111,796x = 30,450,250,000
5. Step 5: Solve for x
   x = 30,450,250,000/111,796
6. Step 6: Final answer
   x = 272,373.34