Finding the Third Proportional to 115,400.50 and 182,578

Step by Step Solution

1. Step 1: Write the proportion equation
   115,400.50 : 182,578 = 182,578 : x
2. Step 2: Convert to fraction form
   115,400.50/182,578 = 182,578/x
3. Step 3: Cross multiply
   115,400.50x = 182,578 × 182,578
4. Step 4: Simplify right side
   115,400.50x = 33,334,726,084
5. Step 5: Solve for x
   x = 33,334,726,084/115,400.50
6. Step 6: Final answer
   x = 288,861.19