Finding the Third Proportional to 73,674 and 111,123

Step by Step Solution

1. Step 1: Write the proportion equation
   73,674 : 111,123 = 111,123 : x
2. Step 2: Convert to fraction form
   73,674/111,123 = 111,123/x
3. Step 3: Cross multiply
   73,674x = 111,123 × 111,123
4. Step 4: Simplify right side
   73,674x = 12,348,321,129
5. Step 5: Solve for x
   x = 12,348,321,129/73,674
6. Step 6: Final answer
   x = 167,607.58