Finding the Third Proportional to 363,196,280,290 and 780,292,057,726

Step by Step Solution

1. Step 1: Write the proportion equation
   363,196,280,290 : 780,292,057,726 = 780,292,057,726 : x
2. Step 2: Convert to fraction form
   363,196,280,290/780,292,057,726 = 780,292,057,726/x
3. Step 3: Cross multiply
   363,196,280,290x = 780,292,057,726 × 780,292,057,726
4. Step 4: Simplify right side
   363,196,280,290x = 608,855,695,350,275,355,181,056
5. Step 5: Solve for x
   x = 608,855,695,350,275,355,181,056/363,196,280,290
6. Step 6: Final answer
   x = 1,676,381,968,626.23