Finding the Third Proportional to 81,192 and 175,308

Step by Step Solution

1. Step 1: Write the proportion equation
   81,192 : 175,308 = 175,308 : x
2. Step 2: Convert to fraction form
   81,192/175,308 = 175,308/x
3. Step 3: Cross multiply
   81,192x = 175,308 × 175,308
4. Step 4: Simplify right side
   81,192x = 30,732,894,864
5. Step 5: Solve for x
   x = 30,732,894,864/81,192
6. Step 6: Final answer
   x = 378,521.22