Finding the Third Proportional to 509,738 and 1,097,588

Step by Step Solution

1. Step 1: Write the proportion equation
   509,738 : 1,097,588 = 1,097,588 : x
2. Step 2: Convert to fraction form
   509,738/1,097,588 = 1,097,588/x
3. Step 3: Cross multiply
   509,738x = 1,097,588 × 1,097,588
4. Step 4: Simplify right side
   509,738x = 1,204,699,417,744
5. Step 5: Solve for x
   x = 1,204,699,417,744/509,738
6. Step 6: Final answer
   x = 2,363,369.84