Finding the Third Proportional to 363,849 and 521,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,849 : 521,014.50 = 521,014.50 : x
2. Step 2: Convert to fraction form
   363,849/521,014.50 = 521,014.50/x
3. Step 3: Cross multiply
   363,849x = 521,014.50 × 521,014.50
4. Step 4: Simplify right side
   363,849x = 271,456,109,210.25
5. Step 5: Solve for x
   x = 271,456,109,210.25/363,849
6. Step 6: Final answer
   x = 746,068.04