Finding the Third Proportional to 74,092 and 111,777

Step by Step Solution

1. Step 1: Write the proportion equation
   74,092 : 111,777 = 111,777 : x
2. Step 2: Convert to fraction form
   74,092/111,777 = 111,777/x
3. Step 3: Cross multiply
   74,092x = 111,777 × 111,777
4. Step 4: Simplify right side
   74,092x = 12,494,097,729
5. Step 5: Solve for x
   x = 12,494,097,729/74,092
6. Step 6: Final answer
   x = 168,629.51