Finding the Third Proportional to 73,723 and 111,195

Step by Step Solution

1. Step 1: Write the proportion equation
   73,723 : 111,195 = 111,195 : x
2. Step 2: Convert to fraction form
   73,723/111,195 = 111,195/x
3. Step 3: Cross multiply
   73,723x = 111,195 × 111,195
4. Step 4: Simplify right side
   73,723x = 12,364,328,025
5. Step 5: Solve for x
   x = 12,364,328,025/73,723
6. Step 6: Final answer
   x = 167,713.31