Finding the Third Proportional to 83,770 and 182,084

Step by Step Solution

1. Step 1: Write the proportion equation
   83,770 : 182,084 = 182,084 : x
2. Step 2: Convert to fraction form
   83,770/182,084 = 182,084/x
3. Step 3: Cross multiply
   83,770x = 182,084 × 182,084
4. Step 4: Simplify right side
   83,770x = 33,154,583,056
5. Step 5: Solve for x
   x = 33,154,583,056/83,770
6. Step 6: Final answer
   x = 395,781.10