Finding the Third Proportional to 115,409.25 and 182,592

Step by Step Solution

1. Step 1: Write the proportion equation
   115,409.25 : 182,592 = 182,592 : x
2. Step 2: Convert to fraction form
   115,409.25/182,592 = 182,592/x
3. Step 3: Cross multiply
   115,409.25x = 182,592 × 182,592
4. Step 4: Simplify right side
   115,409.25x = 33,339,838,464
5. Step 5: Solve for x
   x = 33,339,838,464/115,409.25
6. Step 6: Final answer
   x = 288,883.59