Finding the Third Proportional to 361,984 and 780,064

Step by Step Solution

1. Step 1: Write the proportion equation
   361,984 : 780,064 = 780,064 : x
2. Step 2: Convert to fraction form
   361,984/780,064 = 780,064/x
3. Step 3: Cross multiply
   361,984x = 780,064 × 780,064
4. Step 4: Simplify right side
   361,984x = 608,499,844,096
5. Step 5: Solve for x
   x = 608,499,844,096/361,984
6. Step 6: Final answer
   x = 1,681,013.09