Finding the Third Proportional to 500,575 and 774,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,575 : 774,865.50 = 774,865.50 : x
2. Step 2: Convert to fraction form
   500,575/774,865.50 = 774,865.50/x
3. Step 3: Cross multiply
   500,575x = 774,865.50 × 774,865.50
4. Step 4: Simplify right side
   500,575x = 600,416,543,090.25
5. Step 5: Solve for x
   x = 600,416,543,090.25/500,575
6. Step 6: Final answer
   x = 1,199,453.71