Finding the Third Proportional to 85,258 and 185,504

Step by Step Solution

1. Step 1: Write the proportion equation
   85,258 : 185,504 = 185,504 : x
2. Step 2: Convert to fraction form
   85,258/185,504 = 185,504/x
3. Step 3: Cross multiply
   85,258x = 185,504 × 185,504
4. Step 4: Simplify right side
   85,258x = 34,411,734,016
5. Step 5: Solve for x
   x = 34,411,734,016/85,258
6. Step 6: Final answer
   x = 403,618.83