Finding the Third Proportional to 413,383.50 and 620,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,383.50 : 620,074.50 = 620,074.50 : x
2. Step 2: Convert to fraction form
   413,383.50/620,074.50 = 620,074.50/x
3. Step 3: Cross multiply
   413,383.50x = 620,074.50 × 620,074.50
4. Step 4: Simplify right side
   413,383.50x = 384,492,385,550.25
5. Step 5: Solve for x
   x = 384,492,385,550.25/413,383.50
6. Step 6: Final answer
   x = 930,110.63