Finding the Third Proportional to 82,150 and 191,983

Step by Step Solution

1. Step 1: Write the proportion equation
   82,150 : 191,983 = 191,983 : x
2. Step 2: Convert to fraction form
   82,150/191,983 = 191,983/x
3. Step 3: Cross multiply
   82,150x = 191,983 × 191,983
4. Step 4: Simplify right side
   82,150x = 36,857,472,289
5. Step 5: Solve for x
   x = 36,857,472,289/82,150
6. Step 6: Final answer
   x = 448,660.65