Finding the Third Proportional to 85,282 and 187,484

Step by Step Solution

1. Step 1: Write the proportion equation
   85,282 : 187,484 = 187,484 : x
2. Step 2: Convert to fraction form
   85,282/187,484 = 187,484/x
3. Step 3: Cross multiply
   85,282x = 187,484 × 187,484
4. Step 4: Simplify right side
   85,282x = 35,150,250,256
5. Step 5: Solve for x
   x = 35,150,250,256/85,282
6. Step 6: Final answer
   x = 412,164.94