Finding the Third Proportional to 83,484 and 182,886

Step by Step Solution

1. Step 1: Write the proportion equation
   83,484 : 182,886 = 182,886 : x
2. Step 2: Convert to fraction form
   83,484/182,886 = 182,886/x
3. Step 3: Cross multiply
   83,484x = 182,886 × 182,886
4. Step 4: Simplify right side
   83,484x = 33,447,288,996
5. Step 5: Solve for x
   x = 33,447,288,996/83,484
6. Step 6: Final answer
   x = 400,643.11