Finding the Third Proportional to 82,932 and 177,164

Step by Step Solution

1. Step 1: Write the proportion equation
   82,932 : 177,164 = 177,164 : x
2. Step 2: Convert to fraction form
   82,932/177,164 = 177,164/x
3. Step 3: Cross multiply
   82,932x = 177,164 × 177,164
4. Step 4: Simplify right side
   82,932x = 31,387,082,896
5. Step 5: Solve for x
   x = 31,387,082,896/82,932
6. Step 6: Final answer
   x = 378,467.70