Finding the Third Proportional to 81,746.72 and 176,015.53

Step by Step Solution

1. Step 1: Write the proportion equation
   81,746.72 : 176,015.53 = 176,015.53 : x
2. Step 2: Convert to fraction form
   81,746.72/176,015.53 = 176,015.53/x
3. Step 3: Cross multiply
   81,746.72x = 176,015.53 × 176,015.53
4. Step 4: Simplify right side
   81,746.72x = 30,981,467,241.22
5. Step 5: Solve for x
   x = 30,981,467,241.22/81,746.72
6. Step 6: Final answer
   x = 378,993.40