Finding the Third Proportional to 113,592 and 178,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,592 : 178,207.50 = 178,207.50 : x
2. Step 2: Convert to fraction form
   113,592/178,207.50 = 178,207.50/x
3. Step 3: Cross multiply
   113,592x = 178,207.50 × 178,207.50
4. Step 4: Simplify right side
   113,592x = 31,757,913,056.25
5. Step 5: Solve for x
   x = 31,757,913,056.25/113,592
6. Step 6: Final answer
   x = 279,578.78