Finding the Third Proportional to 111,381 and 160,926

Step by Step Solution

1. Step 1: Write the proportion equation
   111,381 : 160,926 = 160,926 : x
2. Step 2: Convert to fraction form
   111,381/160,926 = 160,926/x
3. Step 3: Cross multiply
   111,381x = 160,926 × 160,926
4. Step 4: Simplify right side
   111,381x = 25,897,177,476
5. Step 5: Solve for x
   x = 25,897,177,476/111,381
6. Step 6: Final answer
   x = 232,509.83