Finding the Third Proportional to 509,132 and 1,005,412

Step by Step Solution

1. Step 1: Write the proportion equation
   509,132 : 1,005,412 = 1,005,412 : x
2. Step 2: Convert to fraction form
   509,132/1,005,412 = 1,005,412/x
3. Step 3: Cross multiply
   509,132x = 1,005,412 × 1,005,412
4. Step 4: Simplify right side
   509,132x = 1,010,853,289,744
5. Step 5: Solve for x
   x = 1,010,853,289,744/509,132
6. Step 6: Final answer
   x = 1,985,444.42