Finding the Third Proportional to 509,041.25 and 1,005,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,041.25 : 1,005,233.50 = 1,005,233.50 : x
2. Step 2: Convert to fraction form
   509,041.25/1,005,233.50 = 1,005,233.50/x
3. Step 3: Cross multiply
   509,041.25x = 1,005,233.50 × 1,005,233.50
4. Step 4: Simplify right side
   509,041.25x = 1,010,494,389,522.25
5. Step 5: Solve for x
   x = 1,010,494,389,522.25/509,041.25
6. Step 6: Final answer
   x = 1,985,093.33