Finding the Third Proportional to 829,056 and 1,784,958

Step by Step Solution

1. Step 1: Write the proportion equation
   829,056 : 1,784,958 = 1,784,958 : x
2. Step 2: Convert to fraction form
   829,056/1,784,958 = 1,784,958/x
3. Step 3: Cross multiply
   829,056x = 1,784,958 × 1,784,958
4. Step 4: Simplify right side
   829,056x = 3,186,075,061,764
5. Step 5: Solve for x
   x = 3,186,075,061,764/829,056
6. Step 6: Final answer
   x = 3,843,015.50