Finding the Third Proportional to 362,178 and 780,399.75

Step by Step Solution

1. Step 1: Write the proportion equation
   362,178 : 780,399.75 = 780,399.75 : x
2. Step 2: Convert to fraction form
   362,178/780,399.75 = 780,399.75/x
3. Step 3: Cross multiply
   362,178x = 780,399.75 × 780,399.75
4. Step 4: Simplify right side
   362,178x = 609,023,769,800.06
5. Step 5: Solve for x
   x = 609,023,769,800.06/362,178
6. Step 6: Final answer
   x = 1,681,559.26