Finding the Third Proportional to 49,884 and 101,160

Step by Step Solution

1. Step 1: Write the proportion equation
   49,884 : 101,160 = 101,160 : x
2. Step 2: Convert to fraction form
   49,884/101,160 = 101,160/x
3. Step 3: Cross multiply
   49,884x = 101,160 × 101,160
4. Step 4: Simplify right side
   49,884x = 10,233,345,600
5. Step 5: Solve for x
   x = 10,233,345,600/49,884
6. Step 6: Final answer
   x = 205,142.84