Finding the Third Proportional to 83,011.50 and 181,980

Step by Step Solution

1. Step 1: Write the proportion equation
   83,011.50 : 181,980 = 181,980 : x
2. Step 2: Convert to fraction form
   83,011.50/181,980 = 181,980/x
3. Step 3: Cross multiply
   83,011.50x = 181,980 × 181,980
4. Step 4: Simplify right side
   83,011.50x = 33,116,720,400
5. Step 5: Solve for x
   x = 33,116,720,400/83,011.50
6. Step 6: Final answer
   x = 398,941.36