Finding the Third Proportional to 103,640 and 215,068

Step by Step Solution

1. Step 1: Write the proportion equation
   103,640 : 215,068 = 215,068 : x
2. Step 2: Convert to fraction form
   103,640/215,068 = 215,068/x
3. Step 3: Cross multiply
   103,640x = 215,068 × 215,068
4. Step 4: Simplify right side
   103,640x = 46,254,244,624
5. Step 5: Solve for x
   x = 46,254,244,624/103,640
6. Step 6: Final answer
   x = 446,297.23