Finding the Third Proportional to 81,905.25 and 175,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,905.25 : 175,196.25 = 175,196.25 : x
2. Step 2: Convert to fraction form
   81,905.25/175,196.25 = 175,196.25/x
3. Step 3: Cross multiply
   81,905.25x = 175,196.25 × 175,196.25
4. Step 4: Simplify right side
   81,905.25x = 30,693,726,014.06
5. Step 5: Solve for x
   x = 30,693,726,014.06/81,905.25
6. Step 6: Final answer
   x = 374,746.75