Finding the Third Proportional to 111,096 and 241,140

Step by Step Solution

1. Step 1: Write the proportion equation
   111,096 : 241,140 = 241,140 : x
2. Step 2: Convert to fraction form
   111,096/241,140 = 241,140/x
3. Step 3: Cross multiply
   111,096x = 241,140 × 241,140
4. Step 4: Simplify right side
   111,096x = 58,148,499,600
5. Step 5: Solve for x
   x = 58,148,499,600/111,096
6. Step 6: Final answer
   x = 523,407.68