Finding the Third Proportional to 83,598 and 181,020

Step by Step Solution

1. Step 1: Write the proportion equation
   83,598 : 181,020 = 181,020 : x
2. Step 2: Convert to fraction form
   83,598/181,020 = 181,020/x
3. Step 3: Cross multiply
   83,598x = 181,020 × 181,020
4. Step 4: Simplify right side
   83,598x = 32,768,240,400
5. Step 5: Solve for x
   x = 32,768,240,400/83,598
6. Step 6: Final answer
   x = 391,973.98