Finding the Third Proportional to 71,152 and 166,216

Step by Step Solution

1. Step 1: Write the proportion equation
   71,152 : 166,216 = 166,216 : x
2. Step 2: Convert to fraction form
   71,152/166,216 = 166,216/x
3. Step 3: Cross multiply
   71,152x = 166,216 × 166,216
4. Step 4: Simplify right side
   71,152x = 27,627,758,656
5. Step 5: Solve for x
   x = 27,627,758,656/71,152
6. Step 6: Final answer
   x = 388,292.09