Finding the Third Proportional to 95,688 and 209,514

Step by Step Solution

1. Step 1: Write the proportion equation
   95,688 : 209,514 = 209,514 : x
2. Step 2: Convert to fraction form
   95,688/209,514 = 209,514/x
3. Step 3: Cross multiply
   95,688x = 209,514 × 209,514
4. Step 4: Simplify right side
   95,688x = 43,896,116,196
5. Step 5: Solve for x
   x = 43,896,116,196/95,688
6. Step 6: Final answer
   x = 458,742.12