Finding the Third Proportional to 46,560 and 100,894

Step by Step Solution

1. Step 1: Write the proportion equation
   46,560 : 100,894 = 100,894 : x
2. Step 2: Convert to fraction form
   46,560/100,894 = 100,894/x
3. Step 3: Cross multiply
   46,560x = 100,894 × 100,894
4. Step 4: Simplify right side
   46,560x = 10,179,599,236
5. Step 5: Solve for x
   x = 10,179,599,236/46,560
6. Step 6: Final answer
   x = 218,634.00