Finding the Third Proportional to 85,530 and 185,820

Step by Step Solution

1. Step 1: Write the proportion equation
   85,530 : 185,820 = 185,820 : x
2. Step 2: Convert to fraction form
   85,530/185,820 = 185,820/x
3. Step 3: Cross multiply
   85,530x = 185,820 × 185,820
4. Step 4: Simplify right side
   85,530x = 34,529,072,400
5. Step 5: Solve for x
   x = 34,529,072,400/85,530
6. Step 6: Final answer
   x = 403,707.15