Finding the Third Proportional to 83,603 and 181,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,603 : 181,968.50 = 181,968.50 : x
2. Step 2: Convert to fraction form
   83,603/181,968.50 = 181,968.50/x
3. Step 3: Cross multiply
   83,603x = 181,968.50 × 181,968.50
4. Step 4: Simplify right side
   83,603x = 33,112,534,992.25
5. Step 5: Solve for x
   x = 33,112,534,992.25/83,603
6. Step 6: Final answer
   x = 396,068.74