Finding the Third Proportional to 82,395 and 111,924

Step by Step Solution

1. Step 1: Write the proportion equation
   82,395 : 111,924 = 111,924 : x
2. Step 2: Convert to fraction form
   82,395/111,924 = 111,924/x
3. Step 3: Cross multiply
   82,395x = 111,924 × 111,924
4. Step 4: Simplify right side
   82,395x = 12,526,981,776
5. Step 5: Solve for x
   x = 12,526,981,776/82,395
6. Step 6: Final answer
   x = 152,035.70