Finding the Third Proportional to 72,198 and 111,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,198 : 111,577.50 = 111,577.50 : x
2. Step 2: Convert to fraction form
   72,198/111,577.50 = 111,577.50/x
3. Step 3: Cross multiply
   72,198x = 111,577.50 × 111,577.50
4. Step 4: Simplify right side
   72,198x = 12,449,538,506.25
5. Step 5: Solve for x
   x = 12,449,538,506.25/72,198
6. Step 6: Final answer
   x = 172,436.06