Finding the Third Proportional to 103,688 and 215,164

Step by Step Solution

1. Step 1: Write the proportion equation
   103,688 : 215,164 = 215,164 : x
2. Step 2: Convert to fraction form
   103,688/215,164 = 215,164/x
3. Step 3: Cross multiply
   103,688x = 215,164 × 215,164
4. Step 4: Simplify right side
   103,688x = 46,295,546,896
5. Step 5: Solve for x
   x = 46,295,546,896/103,688
6. Step 6: Final answer
   x = 446,488.96