Finding the Third Proportional to 83,484 and 182,760

Step by Step Solution

1. Step 1: Write the proportion equation
   83,484 : 182,760 = 182,760 : x
2. Step 2: Convert to fraction form
   83,484/182,760 = 182,760/x
3. Step 3: Cross multiply
   83,484x = 182,760 × 182,760
4. Step 4: Simplify right side
   83,484x = 33,401,217,600
5. Step 5: Solve for x
   x = 33,401,217,600/83,484
6. Step 6: Final answer
   x = 400,091.25