Finding the Third Proportional to 414,825 and 659,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,825 : 659,602.50 = 659,602.50 : x
2. Step 2: Convert to fraction form
   414,825/659,602.50 = 659,602.50/x
3. Step 3: Cross multiply
   414,825x = 659,602.50 × 659,602.50
4. Step 4: Simplify right side
   414,825x = 435,075,458,006.25
5. Step 5: Solve for x
   x = 435,075,458,006.25/414,825
6. Step 6: Final answer
   x = 1,048,816.87