Finding the Third Proportional to 83,019.25 and 181,620.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,019.25 : 181,620.75 = 181,620.75 : x
2. Step 2: Convert to fraction form
   83,019.25/181,620.75 = 181,620.75/x
3. Step 3: Cross multiply
   83,019.25x = 181,620.75 × 181,620.75
4. Step 4: Simplify right side
   83,019.25x = 32,986,096,830.56
5. Step 5: Solve for x
   x = 32,986,096,830.56/83,019.25
6. Step 6: Final answer
   x = 397,330.70