Finding the Third Proportional to 82,671 and 123,684

Step by Step Solution

1. Step 1: Write the proportion equation
   82,671 : 123,684 = 123,684 : x
2. Step 2: Convert to fraction form
   82,671/123,684 = 123,684/x
3. Step 3: Cross multiply
   82,671x = 123,684 × 123,684
4. Step 4: Simplify right side
   82,671x = 15,297,731,856
5. Step 5: Solve for x
   x = 15,297,731,856/82,671
6. Step 6: Final answer
   x = 185,043.51