Finding the Third Proportional to 48,146 and 100,666

Step by Step Solution

1. Step 1: Write the proportion equation
   48,146 : 100,666 = 100,666 : x
2. Step 2: Convert to fraction form
   48,146/100,666 = 100,666/x
3. Step 3: Cross multiply
   48,146x = 100,666 × 100,666
4. Step 4: Simplify right side
   48,146x = 10,133,643,556
5. Step 5: Solve for x
   x = 10,133,643,556/48,146
6. Step 6: Final answer
   x = 210,477.37