Finding the Third Proportional to 48,117 and 105,666

Step by Step Solution

1. Step 1: Write the proportion equation
   48,117 : 105,666 = 105,666 : x
2. Step 2: Convert to fraction form
   48,117/105,666 = 105,666/x
3. Step 3: Cross multiply
   48,117x = 105,666 × 105,666
4. Step 4: Simplify right side
   48,117x = 11,165,303,556
5. Step 5: Solve for x
   x = 11,165,303,556/48,117
6. Step 6: Final answer
   x = 232,044.88