Finding the Third Proportional to 82,058 and 117,345

Step by Step Solution

1. Step 1: Write the proportion equation
   82,058 : 117,345 = 117,345 : x
2. Step 2: Convert to fraction form
   82,058/117,345 = 117,345/x
3. Step 3: Cross multiply
   82,058x = 117,345 × 117,345
4. Step 4: Simplify right side
   82,058x = 13,769,849,025
5. Step 5: Solve for x
   x = 13,769,849,025/82,058
6. Step 6: Final answer
   x = 167,806.30