Finding the Third Proportional to 499,764 and 712,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   499,764 : 712,264.50 = 712,264.50 : x
2. Step 2: Convert to fraction form
   499,764/712,264.50 = 712,264.50/x
3. Step 3: Cross multiply
   499,764x = 712,264.50 × 712,264.50
4. Step 4: Simplify right side
   499,764x = 507,320,717,960.25
5. Step 5: Solve for x
   x = 507,320,717,960.25/499,764
6. Step 6: Final answer
   x = 1,015,120.57