Finding the Third Proportional to 513,697 and 681,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   513,697 : 681,621.50 = 681,621.50 : x
2. Step 2: Convert to fraction form
   513,697/681,621.50 = 681,621.50/x
3. Step 3: Cross multiply
   513,697x = 681,621.50 × 681,621.50
4. Step 4: Simplify right side
   513,697x = 464,607,869,262.25
5. Step 5: Solve for x
   x = 464,607,869,262.25/513,697
6. Step 6: Final answer
   x = 904,439.52