Finding the Third Proportional to 111,078 and 167,598

Step by Step Solution

1. Step 1: Write the proportion equation
   111,078 : 167,598 = 167,598 : x
2. Step 2: Convert to fraction form
   111,078/167,598 = 167,598/x
3. Step 3: Cross multiply
   111,078x = 167,598 × 167,598
4. Step 4: Simplify right side
   111,078x = 28,089,089,604
5. Step 5: Solve for x
   x = 28,089,089,604/111,078
6. Step 6: Final answer
   x = 252,877.16