Finding the Third Proportional to 113,744.50 and 178,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,744.50 : 178,415.50 = 178,415.50 : x
2. Step 2: Convert to fraction form
   113,744.50/178,415.50 = 178,415.50/x
3. Step 3: Cross multiply
   113,744.50x = 178,415.50 × 178,415.50
4. Step 4: Simplify right side
   113,744.50x = 31,832,090,640.25
5. Step 5: Solve for x
   x = 31,832,090,640.25/113,744.50
6. Step 6: Final answer
   x = 279,856.09