Finding the Third Proportional to 115,406 and 182,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,406 : 182,584.50 = 182,584.50 : x
2. Step 2: Convert to fraction form
   115,406/182,584.50 = 182,584.50/x
3. Step 3: Cross multiply
   115,406x = 182,584.50 × 182,584.50
4. Step 4: Simplify right side
   115,406x = 33,337,099,640.25
5. Step 5: Solve for x
   x = 33,337,099,640.25/115,406
6. Step 6: Final answer
   x = 288,867.99