Finding the Third Proportional to 414,929.25 and 619,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,929.25 : 619,735.50 = 619,735.50 : x
2. Step 2: Convert to fraction form
   414,929.25/619,735.50 = 619,735.50/x
3. Step 3: Cross multiply
   414,929.25x = 619,735.50 × 619,735.50
4. Step 4: Simplify right side
   414,929.25x = 384,072,089,960.25
5. Step 5: Solve for x
   x = 384,072,089,960.25/414,929.25
6. Step 6: Final answer
   x = 925,632.72