Finding the Third Proportional to 81,976.50 and 193,439.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,976.50 : 193,439.25 = 193,439.25 : x
2. Step 2: Convert to fraction form
   81,976.50/193,439.25 = 193,439.25/x
3. Step 3: Cross multiply
   81,976.50x = 193,439.25 × 193,439.25
4. Step 4: Simplify right side
   81,976.50x = 37,418,743,440.56
5. Step 5: Solve for x
   x = 37,418,743,440.56/81,976.50
6. Step 6: Final answer
   x = 456,456.95