Finding the Third Proportional to 83,298 and 187,503

Step by Step Solution

1. Step 1: Write the proportion equation
   83,298 : 187,503 = 187,503 : x
2. Step 2: Convert to fraction form
   83,298/187,503 = 187,503/x
3. Step 3: Cross multiply
   83,298x = 187,503 × 187,503
4. Step 4: Simplify right side
   83,298x = 35,157,375,009
5. Step 5: Solve for x
   x = 35,157,375,009/83,298
6. Step 6: Final answer
   x = 422,067.46