Finding the Third Proportional to 82,453 and 176,566

Step by Step Solution

1. Step 1: Write the proportion equation
   82,453 : 176,566 = 176,566 : x
2. Step 2: Convert to fraction form
   82,453/176,566 = 176,566/x
3. Step 3: Cross multiply
   82,453x = 176,566 × 176,566
4. Step 4: Simplify right side
   82,453x = 31,175,552,356
5. Step 5: Solve for x
   x = 31,175,552,356/82,453
6. Step 6: Final answer
   x = 378,100.89