Finding the Third Proportional to 108,442 and 166,890

Step by Step Solution

1. Step 1: Write the proportion equation
   108,442 : 166,890 = 166,890 : x
2. Step 2: Convert to fraction form
   108,442/166,890 = 166,890/x
3. Step 3: Cross multiply
   108,442x = 166,890 × 166,890
4. Step 4: Simplify right side
   108,442x = 27,852,272,100
5. Step 5: Solve for x
   x = 27,852,272,100/108,442
6. Step 6: Final answer
   x = 256,840.27