Finding the Third Proportional to 158,606 and 215,298

Step by Step Solution

1. Step 1: Write the proportion equation
   158,606 : 215,298 = 215,298 : x
2. Step 2: Convert to fraction form
   158,606/215,298 = 215,298/x
3. Step 3: Cross multiply
   158,606x = 215,298 × 215,298
4. Step 4: Simplify right side
   158,606x = 46,353,228,804
5. Step 5: Solve for x
   x = 46,353,228,804/158,606
6. Step 6: Final answer
   x = 292,253.94