Finding the Third Proportional to 115,401.50 and 182,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,401.50 : 182,579.50 = 182,579.50 : x
2. Step 2: Convert to fraction form
   115,401.50/182,579.50 = 182,579.50/x
3. Step 3: Cross multiply
   115,401.50x = 182,579.50 × 182,579.50
4. Step 4: Simplify right side
   115,401.50x = 33,335,273,820.25
5. Step 5: Solve for x
   x = 33,335,273,820.25/115,401.50
6. Step 6: Final answer
   x = 288,863.44