Finding the Third Proportional to 509,107 and 1,005,365

Step by Step Solution

1. Step 1: Write the proportion equation
   509,107 : 1,005,365 = 1,005,365 : x
2. Step 2: Convert to fraction form
   509,107/1,005,365 = 1,005,365/x
3. Step 3: Cross multiply
   509,107x = 1,005,365 × 1,005,365
4. Step 4: Simplify right side
   509,107x = 1,010,758,783,225
5. Step 5: Solve for x
   x = 1,010,758,783,225/509,107
6. Step 6: Final answer
   x = 1,985,356.29