Finding the Third Proportional to 89,174.25 and 185,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,174.25 : 185,726.25 = 185,726.25 : x
2. Step 2: Convert to fraction form
   89,174.25/185,726.25 = 185,726.25/x
3. Step 3: Cross multiply
   89,174.25x = 185,726.25 × 185,726.25
4. Step 4: Simplify right side
   89,174.25x = 34,494,239,939.06
5. Step 5: Solve for x
   x = 34,494,239,939.06/89,174.25
6. Step 6: Final answer
   x = 386,818.39