Finding the Third Proportional to 83,780.16 and 182,301.47

Step by Step Solution

1. Step 1: Write the proportion equation
   83,780.16 : 182,301.47 = 182,301.47 : x
2. Step 2: Convert to fraction form
   83,780.16/182,301.47 = 182,301.47/x
3. Step 3: Cross multiply
   83,780.16x = 182,301.47 × 182,301.47
4. Step 4: Simplify right side
   83,780.16x = 33,233,825,508.41
5. Step 5: Solve for x
   x = 33,233,825,508.41/83,780.16
6. Step 6: Final answer
   x = 396,678.96