Finding the Third Proportional to 81,789 and 176,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,789 : 176,104.50 = 176,104.50 : x
2. Step 2: Convert to fraction form
   81,789/176,104.50 = 176,104.50/x
3. Step 3: Cross multiply
   81,789x = 176,104.50 × 176,104.50
4. Step 4: Simplify right side
   81,789x = 31,012,794,920.25
5. Step 5: Solve for x
   x = 31,012,794,920.25/81,789
6. Step 6: Final answer
   x = 379,180.51