Finding the Third Proportional to 83,729 and 182,254

Step by Step Solution

1. Step 1: Write the proportion equation
   83,729 : 182,254 = 182,254 : x
2. Step 2: Convert to fraction form
   83,729/182,254 = 182,254/x
3. Step 3: Cross multiply
   83,729x = 182,254 × 182,254
4. Step 4: Simplify right side
   83,729x = 33,216,520,516
5. Step 5: Solve for x
   x = 33,216,520,516/83,729
6. Step 6: Final answer
   x = 396,714.65