Finding the Third Proportional to 46,566 and 100,514

Step by Step Solution

1. Step 1: Write the proportion equation
   46,566 : 100,514 = 100,514 : x
2. Step 2: Convert to fraction form
   46,566/100,514 = 100,514/x
3. Step 3: Cross multiply
   46,566x = 100,514 × 100,514
4. Step 4: Simplify right side
   46,566x = 10,103,064,196
5. Step 5: Solve for x
   x = 10,103,064,196/46,566
6. Step 6: Final answer
   x = 216,962.25