Finding the Third Proportional to 509,951 and 1,109,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,951 : 1,109,978.50 = 1,109,978.50 : x
2. Step 2: Convert to fraction form
   509,951/1,109,978.50 = 1,109,978.50/x
3. Step 3: Cross multiply
   509,951x = 1,109,978.50 × 1,109,978.50
4. Step 4: Simplify right side
   509,951x = 1,232,052,270,462.25
5. Step 5: Solve for x
   x = 1,232,052,270,462.25/509,951
6. Step 6: Final answer
   x = 2,416,020.89