Finding the Third Proportional to 414,853.50 and 619,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,853.50 : 619,633.50 = 619,633.50 : x
2. Step 2: Convert to fraction form
   414,853.50/619,633.50 = 619,633.50/x
3. Step 3: Cross multiply
   414,853.50x = 619,633.50 × 619,633.50
4. Step 4: Simplify right side
   414,853.50x = 383,945,674,322.25
5. Step 5: Solve for x
   x = 383,945,674,322.25/414,853.50
6. Step 6: Final answer
   x = 925,497.01