Finding the Third Proportional to 85,812 and 185,223

Step by Step Solution

1. Step 1: Write the proportion equation
   85,812 : 185,223 = 185,223 : x
2. Step 2: Convert to fraction form
   85,812/185,223 = 185,223/x
3. Step 3: Cross multiply
   85,812x = 185,223 × 185,223
4. Step 4: Simplify right side
   85,812x = 34,307,559,729
5. Step 5: Solve for x
   x = 34,307,559,729/85,812
6. Step 6: Final answer
   x = 399,799.09