Finding the Third Proportional to 414,415.50 and 619,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,415.50 : 619,066.50 = 619,066.50 : x
2. Step 2: Convert to fraction form
   414,415.50/619,066.50 = 619,066.50/x
3. Step 3: Cross multiply
   414,415.50x = 619,066.50 × 619,066.50
4. Step 4: Simplify right side
   414,415.50x = 383,243,331,422.25
5. Step 5: Solve for x
   x = 383,243,331,422.25/414,415.50
6. Step 6: Final answer
   x = 924,780.40