Finding the Third Proportional to 81,750.50 and 175,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,750.50 : 175,974.50 = 175,974.50 : x
2. Step 2: Convert to fraction form
   81,750.50/175,974.50 = 175,974.50/x
3. Step 3: Cross multiply
   81,750.50x = 175,974.50 × 175,974.50
4. Step 4: Simplify right side
   81,750.50x = 30,967,024,650.25
5. Step 5: Solve for x
   x = 30,967,024,650.25/81,750.50
6. Step 6: Final answer
   x = 378,799.21