Finding the Third Proportional to 363,867 and 521,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,867 : 521,041.50 = 521,041.50 : x
2. Step 2: Convert to fraction form
   363,867/521,041.50 = 521,041.50/x
3. Step 3: Cross multiply
   363,867x = 521,041.50 × 521,041.50
4. Step 4: Simplify right side
   363,867x = 271,484,244,722.25
5. Step 5: Solve for x
   x = 271,484,244,722.25/363,867
6. Step 6: Final answer
   x = 746,108.45