Finding the Third Proportional to 78,256 and 166,228

Step by Step Solution

1. Step 1: Write the proportion equation
   78,256 : 166,228 = 166,228 : x
2. Step 2: Convert to fraction form
   78,256/166,228 = 166,228/x
3. Step 3: Cross multiply
   78,256x = 166,228 × 166,228
4. Step 4: Simplify right side
   78,256x = 27,631,747,984
5. Step 5: Solve for x
   x = 27,631,747,984/78,256
6. Step 6: Final answer
   x = 353,094.31