Finding the Third Proportional to 108,152 and 166,764

Step by Step Solution

1. Step 1: Write the proportion equation
   108,152 : 166,764 = 166,764 : x
2. Step 2: Convert to fraction form
   108,152/166,764 = 166,764/x
3. Step 3: Cross multiply
   108,152x = 166,764 × 166,764
4. Step 4: Simplify right side
   108,152x = 27,810,231,696
5. Step 5: Solve for x
   x = 27,810,231,696/108,152
6. Step 6: Final answer
   x = 257,140.24