Finding the Third Proportional to 46,544 and 100,468

Step by Step Solution

1. Step 1: Write the proportion equation
   46,544 : 100,468 = 100,468 : x
2. Step 2: Convert to fraction form
   46,544/100,468 = 100,468/x
3. Step 3: Cross multiply
   46,544x = 100,468 × 100,468
4. Step 4: Simplify right side
   46,544x = 10,093,819,024
5. Step 5: Solve for x
   x = 10,093,819,024/46,544
6. Step 6: Final answer
   x = 216,866.17