Finding the Third Proportional to 108,404 and 166,830

Step by Step Solution

1. Step 1: Write the proportion equation
   108,404 : 166,830 = 166,830 : x
2. Step 2: Convert to fraction form
   108,404/166,830 = 166,830/x
3. Step 3: Cross multiply
   108,404x = 166,830 × 166,830
4. Step 4: Simplify right side
   108,404x = 27,832,248,900
5. Step 5: Solve for x
   x = 27,832,248,900/108,404
6. Step 6: Final answer
   x = 256,745.59