Finding the Third Proportional to 364,986 and 780,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,986 : 780,412.50 = 780,412.50 : x
2. Step 2: Convert to fraction form
   364,986/780,412.50 = 780,412.50/x
3. Step 3: Cross multiply
   364,986x = 780,412.50 × 780,412.50
4. Step 4: Simplify right side
   364,986x = 609,043,670,156.25
5. Step 5: Solve for x
   x = 609,043,670,156.25/364,986
6. Step 6: Final answer
   x = 1,668,676.80