Finding the Third Proportional to 98,543 and 216,162

Step by Step Solution

1. Step 1: Write the proportion equation
   98,543 : 216,162 = 216,162 : x
2. Step 2: Convert to fraction form
   98,543/216,162 = 216,162/x
3. Step 3: Cross multiply
   98,543x = 216,162 × 216,162
4. Step 4: Simplify right side
   98,543x = 46,726,010,244
5. Step 5: Solve for x
   x = 46,726,010,244/98,543
6. Step 6: Final answer
   x = 474,168.74