Finding the Third Proportional to 111,992 and 161,364

Step by Step Solution

1. Step 1: Write the proportion equation
   111,992 : 161,364 = 161,364 : x
2. Step 2: Convert to fraction form
   111,992/161,364 = 161,364/x
3. Step 3: Cross multiply
   111,992x = 161,364 × 161,364
4. Step 4: Simplify right side
   111,992x = 26,038,340,496
5. Step 5: Solve for x
   x = 26,038,340,496/111,992
6. Step 6: Final answer
   x = 232,501.79