Finding the Third Proportional to 82,894 and 177,422

Step by Step Solution

1. Step 1: Write the proportion equation
   82,894 : 177,422 = 177,422 : x
2. Step 2: Convert to fraction form
   82,894/177,422 = 177,422/x
3. Step 3: Cross multiply
   82,894x = 177,422 × 177,422
4. Step 4: Simplify right side
   82,894x = 31,478,566,084
5. Step 5: Solve for x
   x = 31,478,566,084/82,894
6. Step 6: Final answer
   x = 379,744.81