Finding the Third Proportional to 509,128 and 1,005,407

Step by Step Solution

1. Step 1: Write the proportion equation
   509,128 : 1,005,407 = 1,005,407 : x
2. Step 2: Convert to fraction form
   509,128/1,005,407 = 1,005,407/x
3. Step 3: Cross multiply
   509,128x = 1,005,407 × 1,005,407
4. Step 4: Simplify right side
   509,128x = 1,010,843,235,649
5. Step 5: Solve for x
   x = 1,010,843,235,649/509,128
6. Step 6: Final answer
   x = 1,985,440.27