Finding the Third Proportional to 85,180 and 185,228

Step by Step Solution

1. Step 1: Write the proportion equation
   85,180 : 185,228 = 185,228 : x
2. Step 2: Convert to fraction form
   85,180/185,228 = 185,228/x
3. Step 3: Cross multiply
   85,180x = 185,228 × 185,228
4. Step 4: Simplify right side
   85,180x = 34,309,411,984
5. Step 5: Solve for x
   x = 34,309,411,984/85,180
6. Step 6: Final answer
   x = 402,787.18