Finding the Third Proportional to 109,004 and 166,674

Step by Step Solution

1. Step 1: Write the proportion equation
   109,004 : 166,674 = 166,674 : x
2. Step 2: Convert to fraction form
   109,004/166,674 = 166,674/x
3. Step 3: Cross multiply
   109,004x = 166,674 × 166,674
4. Step 4: Simplify right side
   109,004x = 27,780,222,276
5. Step 5: Solve for x
   x = 27,780,222,276/109,004
6. Step 6: Final answer
   x = 254,855.07