Finding the Third Proportional to 85,504 and 185,610

Step by Step Solution

1. Step 1: Write the proportion equation
   85,504 : 185,610 = 185,610 : x
2. Step 2: Convert to fraction form
   85,504/185,610 = 185,610/x
3. Step 3: Cross multiply
   85,504x = 185,610 × 185,610
4. Step 4: Simplify right side
   85,504x = 34,451,072,100
5. Step 5: Solve for x
   x = 34,451,072,100/85,504
6. Step 6: Final answer
   x = 402,917.67