Finding the Third Proportional to 111,774 and 235,968

Step by Step Solution

1. Step 1: Write the proportion equation
   111,774 : 235,968 = 235,968 : x
2. Step 2: Convert to fraction form
   111,774/235,968 = 235,968/x
3. Step 3: Cross multiply
   111,774x = 235,968 × 235,968
4. Step 4: Simplify right side
   111,774x = 55,680,897,024
5. Step 5: Solve for x
   x = 55,680,897,024/111,774
6. Step 6: Final answer
   x = 498,156.07