Finding the Third Proportional to 419,196 and 592,584

Step by Step Solution

1. Step 1: Write the proportion equation
   419,196 : 592,584 = 592,584 : x
2. Step 2: Convert to fraction form
   419,196/592,584 = 592,584/x
3. Step 3: Cross multiply
   419,196x = 592,584 × 592,584
4. Step 4: Simplify right side
   419,196x = 351,155,797,056
5. Step 5: Solve for x
   x = 351,155,797,056/419,196
6. Step 6: Final answer
   x = 837,688.81