Finding the Third Proportional to 365,008 and 780,446

Step by Step Solution

1. Step 1: Write the proportion equation
   365,008 : 780,446 = 780,446 : x
2. Step 2: Convert to fraction form
   365,008/780,446 = 780,446/x
3. Step 3: Cross multiply
   365,008x = 780,446 × 780,446
4. Step 4: Simplify right side
   365,008x = 609,095,958,916
5. Step 5: Solve for x
   x = 609,095,958,916/365,008
6. Step 6: Final answer
   x = 1,668,719.48