Finding the Third Proportional to 46,779 and 101,046

Step by Step Solution

1. Step 1: Write the proportion equation
   46,779 : 101,046 = 101,046 : x
2. Step 2: Convert to fraction form
   46,779/101,046 = 101,046/x
3. Step 3: Cross multiply
   46,779x = 101,046 × 101,046
4. Step 4: Simplify right side
   46,779x = 10,210,294,116
5. Step 5: Solve for x
   x = 10,210,294,116/46,779
6. Step 6: Final answer
   x = 218,266.62