Finding the Third Proportional to 85,422 and 187,298

Step by Step Solution

1. Step 1: Write the proportion equation
   85,422 : 187,298 = 187,298 : x
2. Step 2: Convert to fraction form
   85,422/187,298 = 187,298/x
3. Step 3: Cross multiply
   85,422x = 187,298 × 187,298
4. Step 4: Simplify right side
   85,422x = 35,080,540,804
5. Step 5: Solve for x
   x = 35,080,540,804/85,422
6. Step 6: Final answer
   x = 410,673.37