Finding the Third Proportional to 82,058 and 178,332

Step by Step Solution

1. Step 1: Write the proportion equation
   82,058 : 178,332 = 178,332 : x
2. Step 2: Convert to fraction form
   82,058/178,332 = 178,332/x
3. Step 3: Cross multiply
   82,058x = 178,332 × 178,332
4. Step 4: Simplify right side
   82,058x = 31,802,302,224
5. Step 5: Solve for x
   x = 31,802,302,224/82,058
6. Step 6: Final answer
   x = 387,558.83