Finding the Third Proportional to 158,546 and 352,084

Step by Step Solution

1. Step 1: Write the proportion equation
   158,546 : 352,084 = 352,084 : x
2. Step 2: Convert to fraction form
   158,546/352,084 = 352,084/x
3. Step 3: Cross multiply
   158,546x = 352,084 × 352,084
4. Step 4: Simplify right side
   158,546x = 123,963,143,056
5. Step 5: Solve for x
   x = 123,963,143,056/158,546
6. Step 6: Final answer
   x = 781,874.93