Finding the Third Proportional to 113,595 and 178,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,595 : 178,211.50 = 178,211.50 : x
2. Step 2: Convert to fraction form
   113,595/178,211.50 = 178,211.50/x
3. Step 3: Cross multiply
   113,595x = 178,211.50 × 178,211.50
4. Step 4: Simplify right side
   113,595x = 31,759,338,732.25
5. Step 5: Solve for x
   x = 31,759,338,732.25/113,595
6. Step 6: Final answer
   x = 279,583.95