Finding the Third Proportional to 193,892 and 410,140

Step by Step Solution

1. Step 1: Write the proportion equation
   193,892 : 410,140 = 410,140 : x
2. Step 2: Convert to fraction form
   193,892/410,140 = 410,140/x
3. Step 3: Cross multiply
   193,892x = 410,140 × 410,140
4. Step 4: Simplify right side
   193,892x = 168,214,819,600
5. Step 5: Solve for x
   x = 168,214,819,600/193,892
6. Step 6: Final answer
   x = 867,569.68