Finding the Third Proportional to 83,762 and 182,298

Step by Step Solution

1. Step 1: Write the proportion equation
   83,762 : 182,298 = 182,298 : x
2. Step 2: Convert to fraction form
   83,762/182,298 = 182,298/x
3. Step 3: Cross multiply
   83,762x = 182,298 × 182,298
4. Step 4: Simplify right side
   83,762x = 33,232,560,804
5. Step 5: Solve for x
   x = 33,232,560,804/83,762
6. Step 6: Final answer
   x = 396,749.85