Finding the Third Proportional to 524,655 and 620,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   524,655 : 620,458.50 = 620,458.50 : x
2. Step 2: Convert to fraction form
   524,655/620,458.50 = 620,458.50/x
3. Step 3: Cross multiply
   524,655x = 620,458.50 × 620,458.50
4. Step 4: Simplify right side
   524,655x = 384,968,750,222.25
5. Step 5: Solve for x
   x = 384,968,750,222.25/524,655
6. Step 6: Final answer
   x = 733,755.99