Finding the Third Proportional to 419,250 and 592,667

Step by Step Solution

1. Step 1: Write the proportion equation
   419,250 : 592,667 = 592,667 : x
2. Step 2: Convert to fraction form
   419,250/592,667 = 592,667/x
3. Step 3: Cross multiply
   419,250x = 592,667 × 592,667
4. Step 4: Simplify right side
   419,250x = 351,254,172,889
5. Step 5: Solve for x
   x = 351,254,172,889/419,250
6. Step 6: Final answer
   x = 837,815.56