Finding the Third Proportional to 172,932 and 376,164

Step by Step Solution

1. Step 1: Write the proportion equation
   172,932 : 376,164 = 376,164 : x
2. Step 2: Convert to fraction form
   172,932/376,164 = 376,164/x
3. Step 3: Cross multiply
   172,932x = 376,164 × 376,164
4. Step 4: Simplify right side
   172,932x = 141,499,354,896
5. Step 5: Solve for x
   x = 141,499,354,896/172,932
6. Step 6: Final answer
   x = 818,236.97