Finding the Third Proportional to 82,784 and 173,062

Step by Step Solution

1. Step 1: Write the proportion equation
   82,784 : 173,062 = 173,062 : x
2. Step 2: Convert to fraction form
   82,784/173,062 = 173,062/x
3. Step 3: Cross multiply
   82,784x = 173,062 × 173,062
4. Step 4: Simplify right side
   82,784x = 29,950,455,844
5. Step 5: Solve for x
   x = 29,950,455,844/82,784
6. Step 6: Final answer
   x = 361,790.39