Finding the Third Proportional to 345,513 and 533,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,513 : 533,029.50 = 533,029.50 : x
2. Step 2: Convert to fraction form
   345,513/533,029.50 = 533,029.50/x
3. Step 3: Cross multiply
   345,513x = 533,029.50 × 533,029.50
4. Step 4: Simplify right side
   345,513x = 284,120,447,870.25
5. Step 5: Solve for x
   x = 284,120,447,870.25/345,513
6. Step 6: Final answer
   x = 822,314.78