Finding the Third Proportional to 45,864 and 99,216

Step by Step Solution

1. Step 1: Write the proportion equation
   45,864 : 99,216 = 99,216 : x
2. Step 2: Convert to fraction form
   45,864/99,216 = 99,216/x
3. Step 3: Cross multiply
   45,864x = 99,216 × 99,216
4. Step 4: Simplify right side
   45,864x = 9,843,814,656
5. Step 5: Solve for x
   x = 9,843,814,656/45,864
6. Step 6: Final answer
   x = 214,630.53