Finding the Third Proportional to 105,186 and 215,280

Step by Step Solution

1. Step 1: Write the proportion equation
   105,186 : 215,280 = 215,280 : x
2. Step 2: Convert to fraction form
   105,186/215,280 = 215,280/x
3. Step 3: Cross multiply
   105,186x = 215,280 × 215,280
4. Step 4: Simplify right side
   105,186x = 46,345,478,400
5. Step 5: Solve for x
   x = 46,345,478,400/105,186
6. Step 6: Final answer
   x = 440,605.01