Finding the Third Proportional to 273,742 and 366,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   273,742 : 366,166.50 = 366,166.50 : x
2. Step 2: Convert to fraction form
   273,742/366,166.50 = 366,166.50/x
3. Step 3: Cross multiply
   273,742x = 366,166.50 × 366,166.50
4. Step 4: Simplify right side
   273,742x = 134,077,905,722.25
5. Step 5: Solve for x
   x = 134,077,905,722.25/273,742
6. Step 6: Final answer
   x = 489,796.62