Finding the Third Proportional to 364,980 and 780,404

Step by Step Solution

1. Step 1: Write the proportion equation
   364,980 : 780,404 = 780,404 : x
2. Step 2: Convert to fraction form
   364,980/780,404 = 780,404/x
3. Step 3: Cross multiply
   364,980x = 780,404 × 780,404
4. Step 4: Simplify right side
   364,980x = 609,030,403,216
5. Step 5: Solve for x
   x = 609,030,403,216/364,980
6. Step 6: Final answer
   x = 1,668,667.88