Finding the Third Proportional to 140,522 and 214,298

Step by Step Solution

1. Step 1: Write the proportion equation
   140,522 : 214,298 = 214,298 : x
2. Step 2: Convert to fraction form
   140,522/214,298 = 214,298/x
3. Step 3: Cross multiply
   140,522x = 214,298 × 214,298
4. Step 4: Simplify right side
   140,522x = 45,923,632,804
5. Step 5: Solve for x
   x = 45,923,632,804/140,522
6. Step 6: Final answer
   x = 326,807.42