Finding the Third Proportional to 82,244 and 176,164

Step by Step Solution

1. Step 1: Write the proportion equation
   82,244 : 176,164 = 176,164 : x
2. Step 2: Convert to fraction form
   82,244/176,164 = 176,164/x
3. Step 3: Cross multiply
   82,244x = 176,164 × 176,164
4. Step 4: Simplify right side
   82,244x = 31,033,754,896
5. Step 5: Solve for x
   x = 31,033,754,896/82,244
6. Step 6: Final answer
   x = 377,337.62