Finding the Third Proportional to 103,628 and 215,046

Step by Step Solution

1. Step 1: Write the proportion equation
   103,628 : 215,046 = 215,046 : x
2. Step 2: Convert to fraction form
   103,628/215,046 = 215,046/x
3. Step 3: Cross multiply
   103,628x = 215,046 × 215,046
4. Step 4: Simplify right side
   103,628x = 46,244,782,116
5. Step 5: Solve for x
   x = 46,244,782,116/103,628
6. Step 6: Final answer
   x = 446,257.60