Finding the Third Proportional to 46,884 and 101,098

Step by Step Solution

1. Step 1: Write the proportion equation
   46,884 : 101,098 = 101,098 : x
2. Step 2: Convert to fraction form
   46,884/101,098 = 101,098/x
3. Step 3: Cross multiply
   46,884x = 101,098 × 101,098
4. Step 4: Simplify right side
   46,884x = 10,220,805,604
5. Step 5: Solve for x
   x = 10,220,805,604/46,884
6. Step 6: Final answer
   x = 218,002.00