Finding the Third Proportional to 115,680 and 174,979.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,680 : 174,979.50 = 174,979.50 : x
2. Step 2: Convert to fraction form
   115,680/174,979.50 = 174,979.50/x
3. Step 3: Cross multiply
   115,680x = 174,979.50 × 174,979.50
4. Step 4: Simplify right side
   115,680x = 30,617,825,420.25
5. Step 5: Solve for x
   x = 30,617,825,420.25/115,680
6. Step 6: Final answer
   x = 264,676.91