Finding the Third Proportional to 113,766 and 178,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,766 : 178,454.50 = 178,454.50 : x
2. Step 2: Convert to fraction form
   113,766/178,454.50 = 178,454.50/x
3. Step 3: Cross multiply
   113,766x = 178,454.50 × 178,454.50
4. Step 4: Simplify right side
   113,766x = 31,846,008,570.25
5. Step 5: Solve for x
   x = 31,846,008,570.25/113,766
6. Step 6: Final answer
   x = 279,925.54