Finding the Third Proportional to 361,980 and 780,060

Step by Step Solution

1. Step 1: Write the proportion equation
   361,980 : 780,060 = 780,060 : x
2. Step 2: Convert to fraction form
   361,980/780,060 = 780,060/x
3. Step 3: Cross multiply
   361,980x = 780,060 × 780,060
4. Step 4: Simplify right side
   361,980x = 608,493,603,600
5. Step 5: Solve for x
   x = 608,493,603,600/361,980
6. Step 6: Final answer
   x = 1,681,014.43