Finding the Third Proportional to 111,546 and 167,566

Step by Step Solution

1. Step 1: Write the proportion equation
   111,546 : 167,566 = 167,566 : x
2. Step 2: Convert to fraction form
   111,546/167,566 = 167,566/x
3. Step 3: Cross multiply
   111,546x = 167,566 × 167,566
4. Step 4: Simplify right side
   111,546x = 28,078,364,356
5. Step 5: Solve for x
   x = 28,078,364,356/111,546
6. Step 6: Final answer
   x = 251,720.05