Finding the Third Proportional to 182,256 and 273,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,256 : 273,382.50 = 273,382.50 : x
2. Step 2: Convert to fraction form
   182,256/273,382.50 = 273,382.50/x
3. Step 3: Cross multiply
   182,256x = 273,382.50 × 273,382.50
4. Step 4: Simplify right side
   182,256x = 74,737,991,306.25
5. Step 5: Solve for x
   x = 74,737,991,306.25/182,256
6. Step 6: Final answer
   x = 410,071.50