Finding the Third Proportional to 500,823 and 763,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,823 : 763,627.50 = 763,627.50 : x
2. Step 2: Convert to fraction form
   500,823/763,627.50 = 763,627.50/x
3. Step 3: Cross multiply
   500,823x = 763,627.50 × 763,627.50
4. Step 4: Simplify right side
   500,823x = 583,126,958,756.25
5. Step 5: Solve for x
   x = 583,126,958,756.25/500,823
6. Step 6: Final answer
   x = 1,164,337.42