Finding the Third Proportional to 414,444 and 619,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,444 : 619,102.50 = 619,102.50 : x
2. Step 2: Convert to fraction form
   414,444/619,102.50 = 619,102.50/x
3. Step 3: Cross multiply
   414,444x = 619,102.50 × 619,102.50
4. Step 4: Simplify right side
   414,444x = 383,287,905,506.25
5. Step 5: Solve for x
   x = 383,287,905,506.25/414,444
6. Step 6: Final answer
   x = 924,824.36