Finding the Third Proportional to 46,140 and 100,618

Step by Step Solution

1. Step 1: Write the proportion equation
   46,140 : 100,618 = 100,618 : x
2. Step 2: Convert to fraction form
   46,140/100,618 = 100,618/x
3. Step 3: Cross multiply
   46,140x = 100,618 × 100,618
4. Step 4: Simplify right side
   46,140x = 10,123,981,924
5. Step 5: Solve for x
   x = 10,123,981,924/46,140
6. Step 6: Final answer
   x = 219,418.77