Finding the Third Proportional to 205,536 and 448,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,536 : 448,423.50 = 448,423.50 : x
2. Step 2: Convert to fraction form
   205,536/448,423.50 = 448,423.50/x
3. Step 3: Cross multiply
   205,536x = 448,423.50 × 448,423.50
4. Step 4: Simplify right side
   205,536x = 201,083,635,352.25
5. Step 5: Solve for x
   x = 201,083,635,352.25/205,536
6. Step 6: Final answer
   x = 978,337.79