Finding the Third Proportional to 83,563 and 182,370

Step by Step Solution

1. Step 1: Write the proportion equation
   83,563 : 182,370 = 182,370 : x
2. Step 2: Convert to fraction form
   83,563/182,370 = 182,370/x
3. Step 3: Cross multiply
   83,563x = 182,370 × 182,370
4. Step 4: Simplify right side
   83,563x = 33,258,816,900
5. Step 5: Solve for x
   x = 33,258,816,900/83,563
6. Step 6: Final answer
   x = 398,008.89