Finding the Third Proportional to 76,806 and 158,939.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,806 : 158,939.25 = 158,939.25 : x
2. Step 2: Convert to fraction form
   76,806/158,939.25 = 158,939.25/x
3. Step 3: Cross multiply
   76,806x = 158,939.25 × 158,939.25
4. Step 4: Simplify right side
   76,806x = 25,261,685,190.56
5. Step 5: Solve for x
   x = 25,261,685,190.56/76,806
6. Step 6: Final answer
   x = 328,902.50