Finding the Third Proportional to 292,812 and 397,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   292,812 : 397,744.50 = 397,744.50 : x
2. Step 2: Convert to fraction form
   292,812/397,744.50 = 397,744.50/x
3. Step 3: Cross multiply
   292,812x = 397,744.50 × 397,744.50
4. Step 4: Simplify right side
   292,812x = 158,200,687,280.25
5. Step 5: Solve for x
   x = 158,200,687,280.25/292,812
6. Step 6: Final answer
   x = 540,280.75