Finding the Third Proportional to 85,032 and 185,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,032 : 185,605.50 = 185,605.50 : x
2. Step 2: Convert to fraction form
   85,032/185,605.50 = 185,605.50/x
3. Step 3: Cross multiply
   85,032x = 185,605.50 × 185,605.50
4. Step 4: Simplify right side
   85,032x = 34,449,401,630.25
5. Step 5: Solve for x
   x = 34,449,401,630.25/85,032
6. Step 6: Final answer
   x = 405,134.56