Finding the Third Proportional to 85,208 and 185,280

Step by Step Solution

1. Step 1: Write the proportion equation
   85,208 : 185,280 = 185,280 : x
2. Step 2: Convert to fraction form
   85,208/185,280 = 185,280/x
3. Step 3: Cross multiply
   85,208x = 185,280 × 185,280
4. Step 4: Simplify right side
   85,208x = 34,328,678,400
5. Step 5: Solve for x
   x = 34,328,678,400/85,208
6. Step 6: Final answer
   x = 402,880.93