Finding the Third Proportional to 48,030 and 111,654

Step by Step Solution

1. Step 1: Write the proportion equation
   48,030 : 111,654 = 111,654 : x
2. Step 2: Convert to fraction form
   48,030/111,654 = 111,654/x
3. Step 3: Cross multiply
   48,030x = 111,654 × 111,654
4. Step 4: Simplify right side
   48,030x = 12,466,615,716
5. Step 5: Solve for x
   x = 12,466,615,716/48,030
6. Step 6: Final answer
   x = 259,558.94