Finding the Third Proportional to 98,540 and 216,158

Step by Step Solution

1. Step 1: Write the proportion equation
   98,540 : 216,158 = 216,158 : x
2. Step 2: Convert to fraction form
   98,540/216,158 = 216,158/x
3. Step 3: Cross multiply
   98,540x = 216,158 × 216,158
4. Step 4: Simplify right side
   98,540x = 46,724,280,964
5. Step 5: Solve for x
   x = 46,724,280,964/98,540
6. Step 6: Final answer
   x = 474,165.63