Finding the Third Proportional to 51,052 and 108,164

Step by Step Solution

1. Step 1: Write the proportion equation
   51,052 : 108,164 = 108,164 : x
2. Step 2: Convert to fraction form
   51,052/108,164 = 108,164/x
3. Step 3: Cross multiply
   51,052x = 108,164 × 108,164
4. Step 4: Simplify right side
   51,052x = 11,699,450,896
5. Step 5: Solve for x
   x = 11,699,450,896/51,052
6. Step 6: Final answer
   x = 229,167.34