Finding the Third Proportional to 81,789.75 and 175,412.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,789.75 : 175,412.25 = 175,412.25 : x
2. Step 2: Convert to fraction form
   81,789.75/175,412.25 = 175,412.25/x
3. Step 3: Cross multiply
   81,789.75x = 175,412.25 × 175,412.25
4. Step 4: Simplify right side
   81,789.75x = 30,769,457,450.06
5. Step 5: Solve for x
   x = 30,769,457,450.06/81,789.75
6. Step 6: Final answer
   x = 376,201.88