Finding the Third Proportional to 111,567 and 167,595

Step by Step Solution

1. Step 1: Write the proportion equation
   111,567 : 167,595 = 167,595 : x
2. Step 2: Convert to fraction form
   111,567/167,595 = 167,595/x
3. Step 3: Cross multiply
   111,567x = 167,595 × 167,595
4. Step 4: Simplify right side
   111,567x = 28,088,084,025
5. Step 5: Solve for x
   x = 28,088,084,025/111,567
6. Step 6: Final answer
   x = 251,759.79