Finding the Third Proportional to 199,569 and 309,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,569 : 309,877.50 = 309,877.50 : x
2. Step 2: Convert to fraction form
   199,569/309,877.50 = 309,877.50/x
3. Step 3: Cross multiply
   199,569x = 309,877.50 × 309,877.50
4. Step 4: Simplify right side
   199,569x = 96,024,065,006.25
5. Step 5: Solve for x
   x = 96,024,065,006.25/199,569
6. Step 6: Final answer
   x = 481,157.22