Finding the Third Proportional to 49,616 and 101,864

Step by Step Solution

1. Step 1: Write the proportion equation
   49,616 : 101,864 = 101,864 : x
2. Step 2: Convert to fraction form
   49,616/101,864 = 101,864/x
3. Step 3: Cross multiply
   49,616x = 101,864 × 101,864
4. Step 4: Simplify right side
   49,616x = 10,376,274,496
5. Step 5: Solve for x
   x = 10,376,274,496/49,616
6. Step 6: Final answer
   x = 209,131.62