Finding the Third Proportional to 678,186 and 923,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   678,186 : 923,575.50 = 923,575.50 : x
2. Step 2: Convert to fraction form
   678,186/923,575.50 = 923,575.50/x
3. Step 3: Cross multiply
   678,186x = 923,575.50 × 923,575.50
4. Step 4: Simplify right side
   678,186x = 852,991,704,200.25
5. Step 5: Solve for x
   x = 852,991,704,200.25/678,186
6. Step 6: Final answer
   x = 1,257,754.81