Finding the Third Proportional to 83,453 and 181,063

Step by Step Solution

1. Step 1: Write the proportion equation
   83,453 : 181,063 = 181,063 : x
2. Step 2: Convert to fraction form
   83,453/181,063 = 181,063/x
3. Step 3: Cross multiply
   83,453x = 181,063 × 181,063
4. Step 4: Simplify right side
   83,453x = 32,783,809,969
5. Step 5: Solve for x
   x = 32,783,809,969/83,453
6. Step 6: Final answer
   x = 392,841.60