Finding the Third Proportional to 83,137.50 and 181,827

Step by Step Solution

1. Step 1: Write the proportion equation
   83,137.50 : 181,827 = 181,827 : x
2. Step 2: Convert to fraction form
   83,137.50/181,827 = 181,827/x
3. Step 3: Cross multiply
   83,137.50x = 181,827 × 181,827
4. Step 4: Simplify right side
   83,137.50x = 33,061,057,929
5. Step 5: Solve for x
   x = 33,061,057,929/83,137.50
6. Step 6: Final answer
   x = 397,667.21