Finding the Third Proportional to 500,685 and 775,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,685 : 775,762.50 = 775,762.50 : x
2. Step 2: Convert to fraction form
   500,685/775,762.50 = 775,762.50/x
3. Step 3: Cross multiply
   500,685x = 775,762.50 × 775,762.50
4. Step 4: Simplify right side
   500,685x = 601,807,456,406.25
5. Step 5: Solve for x
   x = 601,807,456,406.25/500,685
6. Step 6: Final answer
   x = 1,201,968.22