Finding the Third Proportional to 509,364 and 1,107,180

Step by Step Solution

1. Step 1: Write the proportion equation
   509,364 : 1,107,180 = 1,107,180 : x
2. Step 2: Convert to fraction form
   509,364/1,107,180 = 1,107,180/x
3. Step 3: Cross multiply
   509,364x = 1,107,180 × 1,107,180
4. Step 4: Simplify right side
   509,364x = 1,225,847,552,400
5. Step 5: Solve for x
   x = 1,225,847,552,400/509,364
6. Step 6: Final answer
   x = 2,406,623.85