Finding the Third Proportional to 84,670 and 185,084

Step by Step Solution

1. Step 1: Write the proportion equation
   84,670 : 185,084 = 185,084 : x
2. Step 2: Convert to fraction form
   84,670/185,084 = 185,084/x
3. Step 3: Cross multiply
   84,670x = 185,084 × 185,084
4. Step 4: Simplify right side
   84,670x = 34,256,087,056
5. Step 5: Solve for x
   x = 34,256,087,056/84,670
6. Step 6: Final answer
   x = 404,583.52