Finding the Third Proportional to 113,809.50 and 178,509

Step by Step Solution

1. Step 1: Write the proportion equation
   113,809.50 : 178,509 = 178,509 : x
2. Step 2: Convert to fraction form
   113,809.50/178,509 = 178,509/x
3. Step 3: Cross multiply
   113,809.50x = 178,509 × 178,509
4. Step 4: Simplify right side
   113,809.50x = 31,865,463,081
5. Step 5: Solve for x
   x = 31,865,463,081/113,809.50
6. Step 6: Final answer
   x = 279,989.48