Finding the Third Proportional to 46,768 and 100,184

Step by Step Solution

1. Step 1: Write the proportion equation
   46,768 : 100,184 = 100,184 : x
2. Step 2: Convert to fraction form
   46,768/100,184 = 100,184/x
3. Step 3: Cross multiply
   46,768x = 100,184 × 100,184
4. Step 4: Simplify right side
   46,768x = 10,036,833,856
5. Step 5: Solve for x
   x = 10,036,833,856/46,768
6. Step 6: Final answer
   x = 214,609.00