Finding the Third Proportional to 586,280 and 1,284,784

Step by Step Solution

1. Step 1: Write the proportion equation
   586,280 : 1,284,784 = 1,284,784 : x
2. Step 2: Convert to fraction form
   586,280/1,284,784 = 1,284,784/x
3. Step 3: Cross multiply
   586,280x = 1,284,784 × 1,284,784
4. Step 4: Simplify right side
   586,280x = 1,650,669,926,656
5. Step 5: Solve for x
   x = 1,650,669,926,656/586,280
6. Step 6: Final answer
   x = 2,815,497.59