Finding the Third Proportional to 113,723 and 178,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,723 : 178,375.50 = 178,375.50 : x
2. Step 2: Convert to fraction form
   113,723/178,375.50 = 178,375.50/x
3. Step 3: Cross multiply
   113,723x = 178,375.50 × 178,375.50
4. Step 4: Simplify right side
   113,723x = 31,817,819,000.25
5. Step 5: Solve for x
   x = 31,817,819,000.25/113,723
6. Step 6: Final answer
   x = 279,783.50