Finding the Third Proportional to 362,143 and 779,510

Step by Step Solution

1. Step 1: Write the proportion equation
   362,143 : 779,510 = 779,510 : x
2. Step 2: Convert to fraction form
   362,143/779,510 = 779,510/x
3. Step 3: Cross multiply
   362,143x = 779,510 × 779,510
4. Step 4: Simplify right side
   362,143x = 607,635,840,100
5. Step 5: Solve for x
   x = 607,635,840,100/362,143
6. Step 6: Final answer
   x = 1,677,889.23