Finding the Third Proportional to 363,109.50 and 769,412.25

Step by Step Solution

1. Step 1: Write the proportion equation
   363,109.50 : 769,412.25 = 769,412.25 : x
2. Step 2: Convert to fraction form
   363,109.50/769,412.25 = 769,412.25/x
3. Step 3: Cross multiply
   363,109.50x = 769,412.25 × 769,412.25
4. Step 4: Simplify right side
   363,109.50x = 591,995,210,450.06
5. Step 5: Solve for x
   x = 591,995,210,450.06/363,109.50
6. Step 6: Final answer
   x = 1,630,349.00