Finding the Third Proportional to 111,604 and 174,174

Step by Step Solution

1. Step 1: Write the proportion equation
   111,604 : 174,174 = 174,174 : x
2. Step 2: Convert to fraction form
   111,604/174,174 = 174,174/x
3. Step 3: Cross multiply
   111,604x = 174,174 × 174,174
4. Step 4: Simplify right side
   111,604x = 30,336,582,276
5. Step 5: Solve for x
   x = 30,336,582,276/111,604
6. Step 6: Final answer
   x = 271,823.43