Finding the Third Proportional to 678,204 and 921,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   678,204 : 921,082.50 = 921,082.50 : x
2. Step 2: Convert to fraction form
   678,204/921,082.50 = 921,082.50/x
3. Step 3: Cross multiply
   678,204x = 921,082.50 × 921,082.50
4. Step 4: Simplify right side
   678,204x = 848,392,971,806.25
5. Step 5: Solve for x
   x = 848,392,971,806.25/678,204
6. Step 6: Final answer
   x = 1,250,940.68