Finding the Third Proportional to 83,754 and 182,270.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,754 : 182,270.25 = 182,270.25 : x
2. Step 2: Convert to fraction form
   83,754/182,270.25 = 182,270.25/x
3. Step 3: Cross multiply
   83,754x = 182,270.25 × 182,270.25
4. Step 4: Simplify right side
   83,754x = 33,222,444,035.06
5. Step 5: Solve for x
   x = 33,222,444,035.06/83,754
6. Step 6: Final answer
   x = 396,666.95