Finding the Third Proportional to 103,635 and 214,650

Step by Step Solution

1. Step 1: Write the proportion equation
   103,635 : 214,650 = 214,650 : x
2. Step 2: Convert to fraction form
   103,635/214,650 = 214,650/x
3. Step 3: Cross multiply
   103,635x = 214,650 × 214,650
4. Step 4: Simplify right side
   103,635x = 46,074,622,500
5. Step 5: Solve for x
   x = 46,074,622,500/103,635
6. Step 6: Final answer
   x = 444,585.54