Finding the Third Proportional to 113,580 and 178,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,580 : 178,198.50 = 178,198.50 : x
2. Step 2: Convert to fraction form
   113,580/178,198.50 = 178,198.50/x
3. Step 3: Cross multiply
   113,580x = 178,198.50 × 178,198.50
4. Step 4: Simplify right side
   113,580x = 31,754,705,402.25
5. Step 5: Solve for x
   x = 31,754,705,402.25/113,580
6. Step 6: Final answer
   x = 279,580.08