Finding the Third Proportional to 46,196 and 99,768

Step by Step Solution

1. Step 1: Write the proportion equation
   46,196 : 99,768 = 99,768 : x
2. Step 2: Convert to fraction form
   46,196/99,768 = 99,768/x
3. Step 3: Cross multiply
   46,196x = 99,768 × 99,768
4. Step 4: Simplify right side
   46,196x = 9,953,653,824
5. Step 5: Solve for x
   x = 9,953,653,824/46,196
6. Step 6: Final answer
   x = 215,465.71