Finding the Third Proportional to 85,023.75 and 185,589.94

Step by Step Solution

1. Step 1: Write the proportion equation
   85,023.75 : 185,589.94 = 185,589.94 : x
2. Step 2: Convert to fraction form
   85,023.75/185,589.94 = 185,589.94/x
3. Step 3: Cross multiply
   85,023.75x = 185,589.94 × 185,589.94
4. Step 4: Simplify right side
   85,023.75x = 34,443,624,901.25
5. Step 5: Solve for x
   x = 34,443,624,901.25/85,023.75
6. Step 6: Final answer
   x = 405,105.93