Finding the Third Proportional to 274,506 and 410,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,506 : 410,142.50 = 410,142.50 : x
2. Step 2: Convert to fraction form
   274,506/410,142.50 = 410,142.50/x
3. Step 3: Cross multiply
   274,506x = 410,142.50 × 410,142.50
4. Step 4: Simplify right side
   274,506x = 168,216,870,306.25
5. Step 5: Solve for x
   x = 168,216,870,306.25/274,506
6. Step 6: Final answer
   x = 612,798.52