Finding the Third Proportional to 111,565 and 167,592

Step by Step Solution

1. Step 1: Write the proportion equation
   111,565 : 167,592 = 167,592 : x
2. Step 2: Convert to fraction form
   111,565/167,592 = 167,592/x
3. Step 3: Cross multiply
   111,565x = 167,592 × 167,592
4. Step 4: Simplify right side
   111,565x = 28,087,078,464
5. Step 5: Solve for x
   x = 28,087,078,464/111,565
6. Step 6: Final answer
   x = 251,755.29