Finding the Third Proportional to 83,900 and 182,536

Step by Step Solution

1. Step 1: Write the proportion equation
   83,900 : 182,536 = 182,536 : x
2. Step 2: Convert to fraction form
   83,900/182,536 = 182,536/x
3. Step 3: Cross multiply
   83,900x = 182,536 × 182,536
4. Step 4: Simplify right side
   83,900x = 33,319,391,296
5. Step 5: Solve for x
   x = 33,319,391,296/83,900
6. Step 6: Final answer
   x = 397,132.20